The given expression to be factorized is This can be written as Take common x2 from first two terms, 2x from the next two terms andfrom the last two terms ...

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Byju's Answer

Standard IX

Mathematics

Polynomials

x3+6 x2+12 x+...

Question

x³ + 6x² + 12x + 16

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Solution

The given expression to be factorized is

This can be written as

Take common x² from first two terms, 2x from the next two terms andfrom the last two terms. Then we have,

Finally, take common. Then we get,

We cannot further factorize the expression.

So, the required factorization of is.

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Similar questions

Q. Solve:

(x^{3} + 6 x^{2} + 12 x + 16)

f (x) = x^{3} - 6 x^{2} + 12 x - 16

is strictly decreasing for

Q. Prove that the function

f(x)=x3−6x2+12x−18f(x)=x3−6x2+12x−18 is increasing on

R

Q. Test whether the following function is increasing or decreasing

f (x) = x^{3} - 6 x^{2} + 12 x - 16, x \in R

Q. If

x = 2^{1 / 3} - 2,

then

x^{3} + 6 x^{2} + 12 x =

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x3 + 6x2 + 12x + 16

The given expression to be factorized is This can be written as Take common x2 from first two terms, 2x from the next two terms andfrom the last two terms. Then we have, Finally, take common. Then we get, We cannot further factorize the expression. So, the required factorization of is.

x³ + 6x² + 12x + 16

The given expression to be factorized is

This can be written as

Take common x² from first two terms, 2x from the next two terms andfrom the last two terms. Then we have,

Finally, take common. Then we get,

We cannot further factorize the expression.

So, the required factorization of is.