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Question

Factorise the quadratic polynomial by splitting the middle term:

x2 + 14x + 45


A

(x + 9) (x + 5)

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B

(x - 9) (x - 5)

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C

(x + 9) (x - 5)

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D

(x - 9) (x + 5)

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Solution

The correct option is A

(x + 9) (x + 5)


x2 + 14x + 45

here a = 1, b = 14, c = 45

ac = 45 = 9 X 5 , b = 14 = 9 + 5

x2 + 14x + 45

= x2 + 9x + 5x + 45

= x( x + 9 ) + 5(x + 9)

= (x + 9) (x + 5


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