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Maths-

General

Easy

Question

Factor out the GCF from the given polynomial.
$x to the power of 10 minus x to the power of 9 plus x to the power of 8$

hint Hint:

the highest number that divides exactly into two or more numbers is known as GCF.

A polynomial is a type of algebraic expression in which the exponents of all variable should be a whole number.

The correct answer is: The GCF x10 - x9 + x8 is x8.

We have been given a polynomial in the question.

We have to factor out the GCF from the given pair of polynomials.

Step 1 of 1:
We have given two monomials $x to the power of 10 minus x to the power of 9 plus x to the power of 8$ .
$x to the power of 10 minus x to the power of 9 plus x to the power of 8$
$x to the power of 8 open parentheses x squared minus x plus 1 close parentheses$
So, The highest factor in this polynomial is x⁸.
So, The GCF x¹⁰ - x⁹ + x⁸is x⁸.

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