Question

X2 + 5x - 36

Which binomial is a factor of the polynomial?


A)
(x + 6)


B)
(x + 9)


C)
(x + 5)


D)
(x + 12)

Answer 1

the answer is b) (x+9)

Answer 2

(x+9) is one of the factor

Explanation:

x^2 + 5x - 36

factor the given expression

Product is -36 and sum is +5

We find out two factors whose product is -36 and sum is +5

9 times -4 = -46

9 - 4= 5

x^2 +9x -4x -36

Group first two terms and last two terms and factor out GCF

(x^2 +9x)+(-4x -36)

x(x+9) - 4(x+9)

(x+9)(x-4)

So (x+9) is one of the factor