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  • Polynomials
  • Factoring Polynomials
  • Factoring out a common factor

Factoring out a common factor

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  • Question 1:
    1 pts
    The common factors in the polynomial 3x+3y3x+3y is x.x.
  • Question 2:
    1 pts
    Find the common factor in the polynomial 5x+2xz.5x+2xz.

    55

    xx

    22

    zz

  • Question 3:
    1 pts
    The common factor in the polynomial 16x+3216x+32 is
  • Question 4:
    1 pts
    Factor the polynomial using out a common factor. 6a+9b 6a+9b
    3(3a2b)3(3a-2b)
    3(2a3b)3(2a-3b)
    3(3a+2b)3(3a+2b)
    3(2a+3b)3(2a+3b)
  • Question 5:
    2 pts
    Factor the polynomial using out a common factor. 6(x2y)+21(x2y) 6\cdot (x-2y)+21 \cdot (x-2y)
    (2xy)(2x-y)
    27(2xy)27\cdot (2x-y)
    27(x2y)27\cdot (x-2y)
    (x2y) (x-2y)
  • Question 6:
    2 pts
    Factor the polynomial using out a common factor. 15x412x3+6x2 15x^{4}-12x^{3}+6x^{2}

    x2(5x24x+2)x^{2} \cdot (5x^{2}-4x+2)

    3x(5x24x+2)3x \cdot (5x^{2}-4x+2)

    3x2(5x24x+2)3x^{2} \cdot (5x^{2}-4x+2)

    3x2(5x2+4x+2)3x^{2} \cdot (5x^{2}+4x+2)

  • Question 7:
    2 pts
    Factor the polynomial using out a common factor. 45x9y+99z 45x-9y+99z
    9(15x3y+33z)9\cdot (15x-3y+33z)
    3(15x3y+33z)3\cdot (15x-3y+33z)
    3(9x3y+33z)3\cdot (9x-3y+33z)
    3(15x+3y+33z)3\cdot (15x+3y+33z)
  • Question 8:
    2 pts
    Factor the polynomial using out a common factor. 50x+4y-50x+4y
    2(25x2y)-2\cdot (-25x-2y)
    2(25x+2y)-2\cdot (25x+2y)
    2(25x2y)-2\cdot (25x-2y)
  • Question 9:
    3 pts
    Factor the polynomial using out a common factor. 21ab233a2bc 21ab^{2}-33a^{2}bc

    3ab2(7b11ac)3ab^{2}\cdot (7b-11ac)

    3a2b(7b11ac)3a^{2}b\cdot (7b-11ac)

    3ab(7b11ac)3ab\cdot (7b-11ac)

    9ab(3b11ac)9ab\cdot (3b-11ac)

  • Question 10:
    3 pts
    Factor the polynomial using out a common factor. 15a2b45ab3+20a3b3+10a5b7 15a^{2}b^{4}-5ab^{3}+20a^{3}b^{3}+10a^{5}b^{7}
    5ab2(3ab+4a2+2a4b4)5ab^{2}\cdot (3ab+4a^{2}+2a^{4}b^{4})
    5ab3(3ab1+4a+2a4b4)5ab^{3}\cdot (3ab-1+4a+2a^{4}b^{4})
    5ab3(3ab1+4a2+2a4b4)5ab^{3}\cdot (3ab-1+4a^{2}+2a^{4}b^{4})
    5ab3(3ab+4a2+2a4b4)5ab^{3}\cdot (3ab+4a^{2}+2a^{4}b^{4})