Question

Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right.

Match Term Definition

x2 – 8x – 20 A) (x – 2)(x + 10)

x2 + 8x – 20 B) (x – 10)(x + 2)

x2 – x – 20 C) (x – 5)(x + 4)

x2 – 9x – 20 D) Prime

Answer 1

x² - 8x - 20 factors to give option
B) (x - 10)(x + 2)
x² + 8x - 20 factors to give option
A) (x - 2)(x + 10)
x² - x - 20 factors to give option C) (x - 5)(x + 4)
and x² - 9x - 20 is option D) Prime.

I hope this helps!

Answer 2

Polynomial 1. Option B

Polynomial 2. Option A

Polynomial 3. Option C

Polynomial 4. Option D

Explanation:

For first polynomial

x² - 8x - 20 by factorizing the polynomial we get

x² - 10x + 2x - 20 = x(x - 10) + 2(x -10) = (x +2)(x - 10)

Therefore Option B is the answer.

for polynomial 2

x² + 8x - 20 = x² + 10x -2x + 20 = x(x + 10)-2(x + 10) = (x-2)(x+10)

Therefore Option A is the answer

for polynomial 3

x² - x - 20 = x² - 5x + 4x -20 = x(x - 5) + 4(x - 5) = (x - 5)(x + 4)

Option C) matches the factors

for option 4

x² - 9x - 20 By quadratic formula we get the factors prime.

Therefore Option D) matches the same.