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Thanks to Mr. Ravi, B.T. Asst, GHS, Arangaladurgam.

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + +

= (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + +

= (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + +

= (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + +

= (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + +

= (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + +

= (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + +

= (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + +

= (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + +

= (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + +

= (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + +

= (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)

k/r]`pfpDtfTk: x3 + 13x2 + 32x + 20

– 1 +1 + 13 + 32 + 20

0 – 1 – 12 – 20 (x + 1) oR k/r]`

+ 1 + 12 + 20 0

x2 + 12x + 20 <p.p. + 20 $. p. + 12

= x2 + 2x + 10x + 20 + += (X x X) + (2 x X) + (2x5xX) + (2x2x5) + 1 + 20 (+21)

= X (X+2) + 5 (X+2) + 2 + 10 (+12)

= (X + 2) (X + 5)

k/r]`kqf = (X + 1) (X + 2) (X +5)