IBEW Aptitude Test Polynomial Factoring Methods Questions and Answers 3

Question 1

Solve: x² + 3x - 10 = 0

Accepted Answer

x = 2 and x = -5

Answer

Factor: (x+5)(x-2)=0. x=-5 or x=2.

Question 2

Factor: 4x² - 12x + 9

Accepted Answer

(2x - 3)²

Answer

This is a perfect square: (2x)² - 2(2x)(3) + 3² = (2x-3)².

Question 3

What is the GCF of 12x³y², 18x²y³, and 24xy⁴?

Accepted Answer

6xy²

Answer

GCF of 12, 18, 24 is 6. Lowest powers: x¹, y². GCF = 6xy².

Question 4

Factor: x² - x - 12

Accepted Answer

(x + 3)(x - 4)

Answer

Find two numbers with product=-12, sum=-1: -4 and +3. Factor: (x+3)(x-4).

Question 5

Simplify: (x² - 9)/(x + 3)

Accepted Answer

x - 3

Answer

x²-9 = (x-3)(x+3). Divide by (x+3): x-3.

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