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Determine the GCF for each of the polynomials. 2x3 – 7x2 3x The GCF is. 33x4 – 22 The GCF is. 24x5 – 56x3 16x The GCF is.

Sagot :

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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