Question

factorize:
x^4-17x^2+256​

Answer 1

Your answer is in image.

Learn How to solve Factots...

To Factor a polynomial is to write a polynomial as the product of other polynomials, binomials, or monomials that can't be factored further. This is also known as irreducible factors.

To Factor a polynomial is to write a polynomial as the product of other polynomials, binomials, or monomials that can't be factored further. This is also known as irreducible factors.One way to factor an expression is to pull out a common factor from all terms and then rewrite the expression.

To Factor a polynomial is to write a polynomial as the product of other polynomials, binomials, or monomials that can't be factored further. This is also known as irreducible factors.One way to factor an expression is to pull out a common factor from all terms and then rewrite the expression.Quadratic expressions can be further factored with the quadratic formula.

Answer 2

Answer:

$\left(x^2+7x+16\right)\left(x^2-7x+16\right)$

Step-by-step explanation:

This problem is belonging to the factorial problem.

so first we need to write the equation in a correct way, that is as follow

$x^{4} -17x^{2} +256$

now to obtain a close format we need to add and remove the term $49x^{2}$

so now the equation will be

$x^{4} -17x^{2} +49x^{2} +256-49x^{2}$

it will solved as

$x^{4} +32x^{2} +256-49x^{2}$

now the first three term except the  $-49x^{2}$ will be assigned as a close fom formula. like that

$(x^{2}+16) ^{2} -49x^{2}$

now we can understand that the above formula is belongs to the simple formula that is $(a^{2} -b^{2} )$

so it can be expanded as follows

$\left(x^2+7x+16\right)\left(x^2-7x+16\right)$

as we know that it is a bi-quadratic equation and as per rule there exists at least two roots which will be also as like of quadratic equation.

so the final answer is

$\left(x^2+7x+16\right)\left(x^2-7x+16\right)$

for more

https://brainly.in/question/48877157

https://brainly.in/question/24982053