Question

Write as a product of two polynomials.


Problem 1. 3(a–2)^2–(2–a)

Problem 2. 2(3–b)+5(b–3)2

Answer 1

Answer:

1. (a-2)(3a-5)
2. (b-3)(5b-17)

Step-by-step explanation:

Recognize that b-a = -(a-b). (Reversing the order of a difference changes its sign.)

1. 3(a-2)² -(2-a) = 3(a-2)² +(a-2) = (a-2)(3(a-2) +1)

... = (a -2)(3a -5)

2. 2(3-b) +5(b-3)² = (b -3)(-2 +5(b -3))

... = (b -3)(5b -17)