Question

x²+6x-16
factorise please help fast​

Answer 1

Answer:

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Answer 2

✪ Question ✪

Factorise: x²+6x-16

✪ To find ✪

The factors.

✪ Solution ✪

x²+6x-16

Consider the form x²+bx+c. Find a pair of integers whose product is c and sum is b. In this case, we have to find a pair of integers whose product is (-16) and sum is 6.

The integers are 8 and (-2).

Because,

8×(-2) = (-16), and

8+(-2) = (8-2) = 6.

So,

x²+6x-16

= x²+8x-2x-16

In x²+8x-2x-16, we can take x common from x²+8x and (-2) from (-2x-16).

So,

x²+8x-2x-16

= x(x+8)-2(x+8)

In x(x+8)-2(x+8), we can take (x+8) as common.

So,

x(x+8)-2(x+8)

= (x+8)(x-2)

✪ Hence ✪

x²+6x-16 = (x+8)(x-2)

✪ Therefore ✪

x²+6x-16 when factorised gives (x+8)(x-2).

๑ Hope this helps you. ๑