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  • Polynomials
  • 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 x2−5x.x^{2}-5x.
    The GCF of x2x^{2} and 5x5x is
  • Question 2:
    1 pts
    		Factor out the greatest common factor in 6x−12.6x-12.

    2(6−x)2 (6-x)

    6(2−x)6 (2-x)

    6(x−2)6 (x-2)

    2(x−6)2 (x-6)

  • Question 3:
    1 pts
    		Factor out the greatest common factor in 1+2n2.1+2n^{2}.
    1−2n21-2n^{2}
    1+2n1+2n
    1+2n21+2n^{2}
    none of these
  • Question 4:
    1 pts
    		Factor out the greatest common factor in 70x−50y.70x-50y.

    12(x−5y)12 (x-5y)

    20(x−y)20 (x-y)

    10(x−y)10(x-y)

    10(7x−5y)10(7x-5y)

  • Question 5:
    2 pts
    		Find the greatest common factor of all the terms in the polynomial x2y2−3xy2.x^{2}y^{2}-3xy^{2}.
    The GCF of x2y2x^{2}y^{2} and 3xy23xy^{2} is
  • Question 6:
    2 pts
    		3x3y−6x2y2−3xy=3xy(x2−2xy).3x^{3}y-6x^{2}y^{2}-3xy=3xy(x^{2}-2xy).
  • Question 7:
    2 pts
    		Factor out the greatest common factor in 30m6+15mn2−25.30m^{6}+15mn^{2}-25.
    5(6m6+mn−5)5(6m^{6}+mn-5)
    5(6m6+3m2n−52)5(6m^{6}+3m^{2}n-5^{2})
    5(6m6+3mn2−5)5(6m^{6}+3mn^{2}-5)
    5(6m6+3m2n−5)5(6m^{6}+3m^{2}n-5)
  • Question 8:
    2 pts
    		Factor out the greatest common factor in 42w3−14w+77w5.42w^{3}-14w+77w^{5}.
    7w(6w2−2+11w4)7w(6w^{2}-2+11w^{4})
    6w(7w2−2w+11w4)6w(7w^{2}-2w+11w^{4})
    7w(6w2−2w+11w3)7w(6w^{2}-2w+11w^{3})
    7(7w2−2w+11w4)7(7w^{2}-2w+11w^{4})
  • Question 9:
    3 pts
    		Find the greatest common factor of all the terms in the polynomial −144p5q−12p3−6p.-144p^{5}q-12p^{3}-6p.
    The GCF of −144p5q−12p3−6p-144p^{5}q-12p^{3}-6p is
  • Question 10:
    3 pts
    		Factor out the greatest common factor in 24k3s2+12k2s5−48k2s3.24k^{3}s^{2}+12k^{2}s^{5}-48k^{2}s^{3}.
    12k2s3(2k+s3−4s)12k^{2}s^{3}(2k+s^{3}-4s)
    12k3s2(2k+s3−4s)12k^{3}s^{2}(2k+s^{3}-4s)
    12k2s2(2k−s3+4s)12k^{2}s^{2}(2k-s^{3}+4s)
    12k2s2(2k+s3−4s)12k^{2}s^{2}(2k+s^{3}-4s)
  • Question 11:
    3 pts
    		Factor out the greatest common factor in −32mn8+4m6n+12mn4+16mn.-32mn^{8}+4m^{6}n+12mn^{4}+16mn.

    2mn(−8n7+m5+3n3+4)2mn(-8n^{7}+m^{5}+3n^{3}+4)

    4mn(−8n7+m5+3n3+4)4mn(-8n^{7}+m^{5}+3n^{3}+4)

    4m(−8n7+m5+3n3+4)4m(-8n^{7}+m^{5}+3n^{3}+4)

    4mn(−8n7+m5+3n3−4)4mn(-8n^{7}+m^{5}+3n^{3}-4)

  • Question 12:
    3 pts
    		Factor out the greatest common factor in −10y7+6y10−4y10x−8y8x.-10y^{7}+6y^{10}-4y^{10}x-8y^{8}x.

    −2y2(5−3y3+2xy3+4xy)-2y^{2}(5-3y^{3}+2xy^{3}+4xy)

    2y7(5−3y3+2xy3−4xy)2y^{7}(5-3y^{3}+2xy^{3}-4xy)

    −2y7(5−3y3+2xy3+4xy)-2y^{7}(5-3y^{3}+2xy^{3}+4xy)

    −2y7(5−3y3+2xy3−4xy)-2y^{7}(5-3y^{3}+2xy^{3}-4xy)

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations