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Quiz 4

Mathematics Department
Tennessee Technological University


Date: November 18, 2017


This page will be updated as needed.

  1. Factor the trinomial $ x^2-5x+4$:

    $ (x+1)(x-4)$

    $ (x+1)(x-4)$

    $ (x-1)(x-4)$

    $ (x+1)(x+4)$

  2. Factor out the greatest common factor in the polynomial $ x^3y-x^4y^2-xy-y$.

    $ y(x^3-x^4y-x-1)$

    $ xy(x^2y-x^3y-1-y)$

    $ x^2y(x-x^2y-1)$

    $ y(x^2y-x^3y^2-x-y)$

  3. Factor the polynomial $ 196 y^2-1$:

    $ (14y+1)^2$

    $ (14y-1)^2$

    $ (14y-1)(14y+1)$

    $ (y+14)(y-14)$

  4. Determine which statement is correct ?

    $ x^2-y^2=(x-y)^2$

    $ x^3+y^3=(x+y)^3$

    $ x^3+y^3=(x+y)(x^2-xy+y^2)$

    $ ax+bx+cx^2=x(a+b+c)$

  5. Factor the polynomial $ am+2an-bm-2bn$.

    $ (a-b)(m+n)$

    $ (a+b)(m+2n)$

    $ (a-b)(m+2n)$

    $ (a+b)(m+n)$

  6. Factor the polynomial $ x^6-1$ completely.

    $ (x^2-1)(x^2-xy+y^2)(x^2+xy+y^2)$

    $ (x^3+1)(x^3-1)$

    $ (x+1)(x-1)(x^2-xy+y^2)(x^2+xy+y^2)$

    $ (x+1)^2(x^4-1)$





Department of Mathematics
Last modified: 2017-11-18