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  • Polynomials
  • Factoring Polynomials
  • Factoring by grouping

Factoring by grouping

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  • Question 1:
    1 pts
    		Factor the polynomial by grouping terms $ax-ay+bx-by.$
    $(a-b)(x-y)$
    $(a+b)(x+y)$
    $(a+x)(b-y)$
    $(a+b)(x-y)$
  • Question 2:
    1 pts
    		Factor the polynomial by grouping terms $6x^{2}+6xy-14x-14y.$

    $(6x-14)(x-y)$

    $(6x-14)(x+y)$

    $(6x+14)(x+y)$

    $(6x+14)(x-y)$

  • Question 3:
    1 pts
    		Factor the polynomial $12ab-17a-12b+17$ by grouping terms:

    $(12b-17)(a-1)$

    $(12b-17)(a+1)$

    $(17b+12)(a-1)$

    $(12b+17)(a-1)$

  • Question 4:
    1 pts
    		$$ 7+y-3xy-21x=7(1-3x)+y(1-3x)=(7+y)(1-3x)$$
  • Question 5:
    2 pts
    		Factor the polynomial by grouping terms $40r^{3}-8r^{2}-25r+5.$
    $(8r-1)(5r^{2}-5)$
    $(5r-1)(8r^{2}-5)$
    $(5r-1)(8r^{2}+5)$
    $(5r+1)(8r^{2}+5)$
  • Question 6:
    2 pts
    		Factor the polynomial by grouping terms $x^{3}-4x^{2}+3x-12.$

    $(x+3)(x^{2}-4)$

    $(x^{2}+3)(x+4)$

    $(x^{2}+3)(x-4)$

    $(x+3)(x-4)$

  • Question 7:
    3 pts
    		Factor the polynomial by grouping terms $7xy-3n-x+21ny.$

    $(x+3n)(7y+1)$

    $(2x+3n)(7y-1)$

    $(x+3n)(7y-1)$

    $(3x+3n)(7y-1)$

  • Question 8:
    2 pts
    		Factor the polynomial by grouping terms $x^{5}+x^{3}-2x^{2}-2.$
    $(x^{3}+1)(x^{2}-2)$
    $(x^{2}+1)(x^{2}-2)$
    $(x^{2}-1)(x^{3}-2)$
    $(x^{2}+1)(x^{3}-2)$
  • Question 9:
    3 pts
    		Factor the polynomial by grouping terms $3b^{4}-3b^{3}c+2b^{3}c-2b^{2}c^{2}.$

    $(b-c)(3b^{2}+2b^{3}c)$

    $(b-c)(3b^{3}-2b^{2}c)$

    $(b-c)(3b^{3}+2b^{2}c)$

    $(b+c)(3b^{3}+2b^{2}c)$

  • Question 10:
    3 pts
    		Factor the polynomial by grouping terms $mz-5mh^{2}-5nz+25nh^{2}.$

    $(m-5n)(z-5h^{2})$

    $(m+5n)(z+5h^{2})$

    $(m-5n)(z-5h)$

    $(m^{2}-5n)(z-5h)$

  • Question 11:
    3 pts
    		Factor the polynomial $56xw+49xk^{2}-24yw-21yk^{2}.$
    $(7x+3y)(8w+7k^{2})$
    $(7x-3y)(8w+7k^{2})$
    $(7x-3y)(8w-7k^{2})$
    $(3x-7y)(8w+7k^{2})$

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations