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The GCF (greatest common factor) for each of the polynomial,
- The GCF of first term is [tex]x[/tex].
- The GCF of second term is 11.
- The GCF of third term [tex]8x[/tex].
What is GCF (greatest common factor)?
GCF or greatest common factor is the common number which all the term has in a group of terms.
Given information-
The given polynomials are,
[tex]2x^3-7x^2+3x[/tex]
[tex]33x^4 - 22[/tex]
[tex]24x^5-56x^3+16x[/tex]
- 1) The GCF of the first term-
[tex]2x^3-7x^2+3x[/tex]
Take out the common variable from each term of the above polynomial to find its greatest common factor as,
[tex]x(2x^2-7x+3)[/tex]
Thus the GCF for the first polynomial is [tex]x[/tex].
- 2) The GCF of the second term-
[tex]33x^4 - 22[/tex]
Take out the common variable from each term of the above polynomial to find its greatest common factor as,
[tex]11(3x^4 - 2)[/tex]
Thus the GCF for the second polynomial is 11.
- 3) The GCF of the third term-
[tex]24x^5-56x^3+16x[/tex]
Take out the common variable from each term of the above polynomial to find its greatest common factor as,
[tex]8x(3x^4-7x^2+2)[/tex]
Thus the GCF for the third polynomial is [tex]8x[/tex].
Hence,
The GCF (greatest common factor) for each of the polynomial,
- The GCF of first term is [tex]x[/tex].
- The GCF of second term is 11.
- The GCF of third term [tex]8x[/tex].
Learn more about the GCF here;
https://brainly.com/question/219464
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