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  • Polynomials
  • Factoring Polynomials
  • Factor a perfect square trinomial

Factor a perfect square trinomial

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  • Question 1:
    1 pts
    		Square of a difference (a−b)2(a-b)^{2} is equal to

    (a−b)(a+b)(a-b)(a+b)

    (a−b)(a−b)(a-b)(a-b)

    (a+b)(a+b)(a+b)(a+b)

    (b−a)(b−a)(b-a)(b-a)

  • Question 2:
    1 pts
    		Square of a sum (p+q)2(p+q)^{2} is equal to

    p2−2pq−q2p^{2}-2pq-q^{2}

    p2+2pq−q2p^{2}+2pq-q^{2}

    p2+2pq+q2p^{2}+2pq+q^{2}

    p2−2pq+q2p^{2}-2pq+q^{2}

  • Question 3:
    1 pts
    		Transform the following expression using the formula for squares of a sum (x+7)2.(x+7)^{2}.
    x2+14x−49x^{2}+14x-49
    x2+14x+49x^{2}+14x+49
    x2−14x+49x^{2}-14x+49
    x2+7x+49x^{2}+7x+49
  • Question 4:
    2 pts
    		Factor the polynomial using a perfect square trinomials. x2+6x+9 x^{2}+6x+9

    (x+3)3(x+3)^{3}

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

    (x−3)2(x-3)^{2}

    (−x+3)2(-x+3)^{2}

  • Question 5:
    2 pts
    		Factor the polynomial using a perfect square trinomials. 25n2−30n+9 25n^{2}-30n+9
    (5n−3)2(5n-3)^{2}
    (3n−5)2(3n-5)^{2}
    (5n−2)2(5n-2)^{2}
    (2n−6)2(2n-6)^{2}
  • Question 6:
    2 pts
    		4a2−8a+164a^{2}-8a+16 is not a perfect square trinomial.
  • Question 7:
    2 pts
    		Factor the polynomial using a perfect square trinomials. 3x2−12x+12 3x^{2}-12x+12

    2(2−x)22(2-x)^{2}

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

    3(x−2)23(x-2)^{2}

    2(x−3)22(x-3)^{2}

  • Question 8:
    3 pts
    		Factor the polynomial using a perfect square trinomials. 4k3w+20k2w2+25kw3 4k^{3}w+20k^{2}w^{2}+25kw^{3}
    kw(5k+2w)(5k+2w)kw(5k+2w)(5k+2w)
    w(2k+5w)(2k+5w)w(2k+5w)(2k+5w)
    kw(2k+5w)(2k+5w)kw(2k+5w)(2k+5w)
    k(2k+5w)(2k+5w)k(2k+5w)(2k+5w)
  • Question 9:
    3 pts
    		Factor the polynomial using a perfect square trinomials. 12x2−36x+2712x^{2}-36x+27

    4(x−32)24(x- \dfrac{3}{2})^{2}

    12(x+32)212(x+\dfrac{3}{2})^{2}

    12(x−32)212(x- \dfrac{3}{2})^{2}

    6(x−32)26(x- \dfrac{3}{2})^{2}

  • Question 10:
    3 pts
    		Factor the polynomial using a perfect square trinomials. x3y+6x2y2+9xy3x^{3}y+6x^{2}y^{2}+9xy^{3}
    y(3y+x)2y(3y+x)^{2}
    x(3y+x)2x(3y+x)^{2}
    xy(y+3x)2xy(y+3x)^{2}
    xy(3y+x)2xy(3y+x)^{2}
  • Question 11:
    3 pts
    		Find a value for cc that will create a perfect square trinomial x2−5x+c.x^{2}-5x+c.
    c=52c = \dfrac{5}{2}
    c=254c = \dfrac{25}{4}
    c=54c = \dfrac{5}{4}

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations