B Y : T U C K E R , T A N N E R , T R I S T O N

4-4 Factoring Quadratic Expressions

Factoring a Perfect Square Trinomial

64x2 - 16x + 1

(8x)2 (8x - 1)2

Is the first term a perfect square?

Is the last term a perfect square?

Is the middle term twice the product of 8 and 1?

1

Check your Self

(8x-1) (8x-1)

FOIL

(8x)2 - 8x - 8x +(-1)-1

64x2 -16x +1

YES

Factoring a Difference of Two Squares

25x2 - 49

25x2-49 = (5x)2 - 72

Find your perfect squares

= (5x + 7) (5x – 7)

= 25x2 - 49

Got It?

Try Got It #5.

• 16x2 - 81

Work on

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