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

Polynomial 1. Option B

Polynomial 2. Option A

Polynomial 3. Option C

Polynomial 4. Option D

Step-by-step 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.

answer: the value of x is 7cm

step-by-step explanation:

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