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Maths-

General

Easy

Question

Factor out the GCF from the given polynomial.
$3 x cubed y squared minus x z to the power of 4 plus 8 y squared z$

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 3x3y2 - xz4 + 8y2z is 1

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 a polynomial $3 x cubed y squared minus x z to the power of 4 plus 8 y squared z$ .
$3 x cubed y squared minus x z to the power of 4 plus 8 y squared z$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 3 x cubed y squared equals 3 cross times x cross times x cross times x cross times y cross times y end cell end table$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank row cell x z to the power of 4 equals x cross times z cross times z cross times z cross times z end cell row blank end table$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 8 y squared z equals 8 cross times y cross times y cross times z end cell end table$
Here we can see there is no common factor in all these three terms except 1.
So, The highest factor of this polynomial is 1.
So, The GCF 3x³y² - xz⁴ + 8y²z is 1

Related Questions to study

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Angle measures: 16°, 41°, 123°, with smallest angle at the left

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Angle measures: 16°, 41°, 123°, with smallest angle at the left

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parallel

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