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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 $$(a-b)^{2}$$ is equal to

    $(a-b)(a+b)$

    $(a-b)(a-b)$

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

    $(b-a)(b-a)$

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

    $p^{2}-2pq-q^{2}$

    $p^{2}+2pq-q^{2}$

    $p^{2}+2pq+q^{2}$

    $p^{2}-2pq+q^{2}$

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

    $(x+3)^{3}$

    $(x+3)^{2}$

    $(x-3)^{2}$

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

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

    $2(2-x)^{2}$

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

    $3(x-2)^{2}$

    $2(x-3)^{2}$

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

    $4(x- \dfrac{3}{2})^{2}$

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

    $12(x- \dfrac{3}{2})^{2}$

    $6(x- \dfrac{3}{2})^{2}$

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

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations