Factorise the quadratic polynomial by splitting the middle term:

x² + 14x + 45

(x + 9) (x + 5)

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(x - 9) (x - 5)

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(x + 9) (x - 5)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(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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