Math, asked by Arnav1927, 1 day ago

Factorise the following polynomial: x^3 + x^2 - 4x -4

Answers

Answered by omgames88
1

Answer:

=(x+1)(x–2)(x+2)

Step-by-step explanation:

Let f(x)=x

3

+x

2

–4x–4

For x=−1, the value of f(x) will be

f(−1)=(−1)

3

+(−1)

2

–4(−1)–4

=−1+1+4–4=0

As, f(−1)=0 so (x+1) is a factor of f(x).

Now, performing long division we have

Thus, f(x)=(x+1)(x

2

–4)

=(x+1)(x–2)(x+2)

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