Question

Factorise
x
2
+
6
x
−
40

Answer 1

$x {}^{2} + 6x - 40 \\ x {}^{2} + 10x - 4x - 40 \\ x(x + 10) - 4(x + 10) \\ (x - 4)(x + 10)$

so, (x-4) (x+10) is the answer

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Answer 2

Answer:

Consider the given equation.

x

2

−6x−40=0

x

2

−10x+4x−40=0

x(x−10)+4(x−10)=0

(x+4)(x−10)=0

x−10=0⇒x=10

x+4=0⇒x=−4

Hence, the values of x are 10,−4.