5.11 multiplying polynomials goal: multiply any two polynomials
DESCRIPTION
(2x)(3x 2 – 4x + 2) 6x 3 +-8x 2 +4xTRANSCRIPT
5.11 Multiplying Polynomials
• Goal: Multiply any two polynomials
To Multiply Polynomials…….
Multiply each term of one polynomial by every term of the other, then add the results
You may either use arrows or the chart to multiply
(2x)(3x2 – 4x + 2)
6x3
+-8x2
+4x
(2x + 3)(4x + 2)
8x2
+4x
+12x
+ 6
8x2 + 16x + 6
(2x2 + 5)(3x2 – 4x + 2)
6x4
-8x3 +4x2+15x
2-20x
+106x4 – 8x3 + 19x2 –20x
+10
(2x + 3)(x2 + 4x + 5)2x3 + 8x2 + 10x
3x2 + 12x + 152x3 + 11x2 + 22x + 15
(b2 + 5)(b2 + 3b – 4)Chart method
b4 + 3b3 -4b2 + 5b2 + 15b+ - 20
b2 5
b2
3b
-4
b4 5b2
3b3 15b
-4b2 -20
=b4 + 3b3 +b2 +15b -20
(3x + 4y)(2x – 3y + 5)you choose your method
6x2 +- xy +– 12y2 + 15x + 20y
Rules for Multiplying PolynomialsA polynomial and a monomial:• Distribute the mono by the polyTwo binomials• (A +B) (A+B) = (A+B) ² = A² +2AB +B²• (A- B) (A-B) = (A –B)² = A² -2AB +B²• (A-B) (A+B) = (A² -B²)• Any two terms you may FOIL or use a chartAny two polynomials:• Multiply each term of one poly by the other poly
AssignmentPage 251
(2-50) even