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Question

Find the factors of x2+8x+15 by splitting the middle term.


A

(x+7)(x+5)

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B

(x+3)(x+5)

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C

(x+3)(x+8)

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D

(x+9)(x+5)

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Solution

The correct option is B

(x+3)(x+5)


Consider the constant 15.

We need to find two numbers such that product = 15 and sum= coefficient of middle term =8 .

3 and 5 are such numbers.

Write the middle term 8x using 3 and 5 as 8x= 3x+5x

x2+8x+15

= x2+3x+5x+15

= x(x+3)+5(x+3)

= (x+3)(x+5)


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