Question

x^2+11x + 28
x^2+2x-15

Factorise the following expressions
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Answer 1

Answer:

1. x²+11x+28

Sum = 11

Product= 28

Numbers divisible to 28 and 11 are 4 and 7. How ? 7×4= 28 , 7+11= 28

(x²+4x)(+7x+28) regrouping method

x (x+4) +7(x+4)

= (x+4)(x+7)

2. x²+2x-15

Sum =2

Product= 15

Numbers divisible to 2 and -15 are -3 and 5. How ? -3×5= -15 , -3+5= 2

(x²+5x)(-3x-15) regrouping method

x(x+5)-3(x+5)

= (x+5)(x-3)

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