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  • Polynomials
  • Factoring Polynomials
  • Factoring Trinomials

Factoring Trinomials

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  • Question 1:
    1 pts
    x2+7x+10=x2+(2+5)x+25=(x+2)(x+5)x^{2}+7x+10=x^{2}+(2+5)x+2\cdot 5 =(x+2)(x+5)
  • Question 2:
    1 pts
    (x1)(x+4)=x2+4xx4=x2+3x4(x-1)(x+4)=x^{2}+4x-x-4=x^{2}+3x-4
  • Question 3:
    1 pts
    Find a product (x+1)(6x4).(x+1)(6x-4).
    6x22x+46x^{2}-2x+4
    6x2+2x46x^{2}+2x-4
    6x22x46x^{2}-2x-4
    6x2+2x+46x^{2}+2x+4
  • Question 4:
    1 pts
    Find a product (2x2)(3x+2).(2x-2)(3x+2).

    6x2+2x+46x^{2}+2x+4

    6x2+2x46x^{2}+2x-4

    6x22x+46x^{2}-2x+4

    6x22x46x^{2}-2x-4

  • Question 5:
    2 pts
    Factoring trinomials x2+6x+8.x^{2}+6x+8.
    (x4)(x+2)(x-4)(x+2)
    (x+4)(x+2)(x+4)(x+2)
    (x+4)(x2)(x+4)(x-2)
    (x4)(x2)(x-4)(x-2)
  • Question 6:
    2 pts
    Factoring trinomials v2+4v21.v^{2}+4v-21.

    (v+3)(v7)(v+3)(v-7)

    (v+3)(v+7)(v+3)(v+7)

    (v3)(v+7)(v-3)(v+7)

    (v3)(v7)(v-3)(v-7)

  • Question 7:
    2 pts
    Factoring trinomials 2x2+17x+26.2x^{2}+17x+26.
  • Question 8:
    2 pts
    Factoring trinomials 3x2+11x+103x^{2}+11x+10
  • Question 9:
    3 pts
    Factoring trinomials 5x29xy+4y2.5x^{2}-9xy+4y^{2}.

    (xy)(5x4y)(x-y)(5x-4y)

    (4xy)(x4y)(4x-y)(x-4y)

    (x5y)(xy)(x-5y)(x-y)

    (x+y)(5x4y)(x+y)(5x-4y)

  • Question 10:
    3 pts
    Factoring trinomials 8x2y60xy+28y8x^{2}y-60xy+28y
  • Question 11:
    3 pts
    Factoring trinomials 4x4+2x3y6x2y24x^{4}+2x^{3}y-6x^{2}y^{2}
    2x2(2x+3y)(x+y)2x^{2}(2x+3y)(x+y)
    2x(2x+3y)(xy)2x(2x+3y)(x-y)
    2x2(2x+3y)(xy)2x^{2}(2x+3y)(x-y)
    x2(2x+3y)(xy)x^{2}(2x+3y)(x-y)
  • Question 12:
    3 pts
    Factoring trinomials 3x230x+753x^{2}-30x+75

    3(x+5)23(x+5)^{2}

    (x5)2(x-5)^{2}

    3(x5)(x+5)3(x-5)(x+5)

    3(x5)23(x-5)^{2}