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  • 27-10-2022
  • Mathematics
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factor gcf out of polynomial[tex]5 {x}^{3} (3 {x}^{3 + 7 \times + 2)} [/tex]

factor gcf out of polynomialtex5 x3 3 x3 7 times 2 tex class=

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AnaliyaW541052 AnaliyaW541052
  • 27-10-2022

The given polynomial is,

[tex]15x^6+35x^4+10x^3[/tex]

Expand the above polynomial.

[tex]5\times3x^3x^3+5\times7x^3x+2\times5x^3[/tex]

Find the common factors in each term and write it as the common factor with the remaining terms inside brackets.

[tex]5^{}x^3(3x^3+7x+2)[/tex]

The term outside the brackets is the GCF.

So, the GCF of the given polynomial is,

[tex]5x^3[/tex]

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