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  • Factoring Polynomials
  • Factoring using the greatest common factor

Factoring using the greatest common factor

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  • Question 1:
    1 pts
    		Find the greatest common factor of all the terms in the polynomial $x^{2}-5x.$
    The GCF of $x^{2}$ and $5x$ is
  • Question 2:
    1 pts
    		Factor out the greatest common factor in $6x-12.$

    $2 (6-x)$

    $6 (2-x)$

    $6 (x-2)$

    $2 (x-6)$

  • Question 3:
    1 pts
    		Factor out the greatest common factor in $1+2n^{2}.$
    $1-2n^{2}$
    $1+2n$
    $1+2n^{2}$
    none of these
  • Question 4:
    1 pts
    		Factor out the greatest common factor in $70x-50y.$

    $12 (x-5y)$

    $20 (x-y)$

    $10(x-y)$

    $10(7x-5y)$

  • Question 5:
    2 pts
    		Find the greatest common factor of all the terms in the polynomial $x^{2}y^{2}-3xy^{2}.$
    The GCF of $x^{2}y^{2}$ and $3xy^{2}$ is
  • Question 6:
    2 pts
    		$3x^{3}y-6x^{2}y^{2}-3xy=3xy(x^{2}-2xy).$
  • Question 7:
    2 pts
    		Factor out the greatest common factor in $30m^{6}+15mn^{2}-25.$
    $5(6m^{6}+mn-5)$
    $5(6m^{6}+3m^{2}n-5^{2})$
    $5(6m^{6}+3mn^{2}-5)$
    $5(6m^{6}+3m^{2}n-5)$
  • Question 8:
    2 pts
    		Factor out the greatest common factor in $42w^{3}-14w+77w^{5}.$
    $7w(6w^{2}-2+11w^{4})$
    $6w(7w^{2}-2w+11w^{4})$
    $7w(6w^{2}-2w+11w^{3})$
    $7(7w^{2}-2w+11w^{4})$
  • Question 9:
    3 pts
    		Find the greatest common factor of all the terms in the polynomial $-144p^{5}q-12p^{3}-6p.$
    The GCF of $-144p^{5}q-12p^{3}-6p$ is
  • Question 10:
    3 pts
    		Factor out the greatest common factor in $24k^{3}s^{2}+12k^{2}s^{5}-48k^{2}s^{3}.$
    $12k^{2}s^{3}(2k+s^{3}-4s)$
    $12k^{3}s^{2}(2k+s^{3}-4s)$
    $12k^{2}s^{2}(2k-s^{3}+4s)$
    $12k^{2}s^{2}(2k+s^{3}-4s)$
  • Question 11:
    3 pts
    		Factor out the greatest common factor in $-32mn^{8}+4m^{6}n+12mn^{4}+16mn.$

    $2mn(-8n^{7}+m^{5}+3n^{3}+4)$

    $4mn(-8n^{7}+m^{5}+3n^{3}+4)$

    $4m(-8n^{7}+m^{5}+3n^{3}+4)$

    $4mn(-8n^{7}+m^{5}+3n^{3}-4)$

  • Question 12:
    3 pts
    		Factor out the greatest common factor in $-10y^{7}+6y^{10}-4y^{10}x-8y^{8}x.$

    $-2y^{2}(5-3y^{3}+2xy^{3}+4xy)$

    $2y^{7}(5-3y^{3}+2xy^{3}-4xy)$

    $-2y^{7}(5-3y^{3}+2xy^{3}+4xy)$

    $-2y^{7}(5-3y^{3}+2xy^{3}-4xy)$

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations