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​Which of the following is a factor of the polynomial x2−x−20x^2-x-20x2−x−20 ?​
Question

Which of the following is a factor of the polynomial x2x20x^2-x-20 ?

A.

x + 2

B.

x - 5

C.

x - 4

D.

x + 5

Correct option is B

Given:

Polynomial: x2x20x^2 - x - 20 

Concept used:

We need to find two numbers that multiply to the constant term (-20) and add up to the coefficient of the middle term (-1).

Solution:

Constant term = -20

Coefficient of the middle term (x) = -1

Two numbers that multiply to -20 and add up to -1 

−5×4 = −20

−5+4 = −1 

The numbers -5 and 4 satisfy these conditions 

These numbers to factor the polynomial:

x2x20=(x5)(x+4)x^2 - x - 20 = (x - 5)(x + 4)  

​Polynomial: x2x20x^2 - x - 20 are (x − 5) and (x + 4) 

Thus, correct answer is (b ) x - 5 

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