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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.ax-ay+bx-by.
    (a−b)(x−y)(a-b)(x-y)
    (a+b)(x+y)(a+b)(x+y)
    (a+x)(b−y)(a+x)(b-y)
    (a+b)(x−y)(a+b)(x-y)
  • Question 2:
    1 pts
    		Factor the polynomial by grouping terms 6x2+6xy−14x−14y.6x^{2}+6xy-14x-14y.

    (6x−14)(x−y)(6x-14)(x-y)

    (6x−14)(x+y)(6x-14)(x+y)

    (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+1712ab-17a-12b+17 by grouping terms:

    (12b−17)(a−1)(12b-17)(a-1)

    (12b−17)(a+1)(12b-17)(a+1)

    (17b+12)(a−1)(17b+12)(a-1)

    (12b+17)(a−1)(12b+17)(a-1)

  • Question 4:
    1 pts
    		7+y−3xy−21x=7(1−3x)+y(1−3x)=(7+y)(1−3x) 7+y-3xy-21x=7(1-3x)+y(1-3x)=(7+y)(1-3x)
  • Question 5:
    2 pts
    		Factor the polynomial by grouping terms 40r3−8r2−25r+5.40r^{3}-8r^{2}-25r+5.
    (8r−1)(5r2−5)(8r-1)(5r^{2}-5)
    (5r−1)(8r2−5)(5r-1)(8r^{2}-5)
    (5r−1)(8r2+5)(5r-1)(8r^{2}+5)
    (5r+1)(8r2+5)(5r+1)(8r^{2}+5)
  • Question 6:
    2 pts
    		Factor the polynomial by grouping terms x3−4x2+3x−12.x^{3}-4x^{2}+3x-12.

    (x+3)(x2−4)(x+3)(x^{2}-4)

    (x2+3)(x+4)(x^{2}+3)(x+4)

    (x2+3)(x−4)(x^{2}+3)(x-4)

    (x+3)(x−4)(x+3)(x-4)

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

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

    (2x+3n)(7y−1)(2x+3n)(7y-1)

    (x+3n)(7y−1)(x+3n)(7y-1)

    (3x+3n)(7y−1)(3x+3n)(7y-1)

  • Question 8:
    2 pts
    		Factor the polynomial by grouping terms x5+x3−2x2−2.x^{5}+x^{3}-2x^{2}-2.
    (x3+1)(x2−2)(x^{3}+1)(x^{2}-2)
    (x2+1)(x2−2)(x^{2}+1)(x^{2}-2)
    (x2−1)(x3−2)(x^{2}-1)(x^{3}-2)
    (x2+1)(x3−2)(x^{2}+1)(x^{3}-2)
  • Question 9:
    3 pts
    		Factor the polynomial by grouping terms 3b4−3b3c+2b3c−2b2c2.3b^{4}-3b^{3}c+2b^{3}c-2b^{2}c^{2}.

    (b−c)(3b2+2b3c)(b-c)(3b^{2}+2b^{3}c)

    (b−c)(3b3−2b2c)(b-c)(3b^{3}-2b^{2}c)

    (b−c)(3b3+2b2c)(b-c)(3b^{3}+2b^{2}c)

    (b+c)(3b3+2b2c)(b+c)(3b^{3}+2b^{2}c)

  • Question 10:
    3 pts
    		Factor the polynomial by grouping terms mz−5mh2−5nz+25nh2.mz-5mh^{2}-5nz+25nh^{2}.

    (m−5n)(z−5h2)(m-5n)(z-5h^{2})

    (m+5n)(z+5h2)(m+5n)(z+5h^{2})

    (m−5n)(z−5h)(m-5n)(z-5h)

    (m2−5n)(z−5h)(m^{2}-5n)(z-5h)

  • Question 11:
    3 pts
    		Factor the polynomial 56xw+49xk2−24yw−21yk2.56xw+49xk^{2}-24yw-21yk^{2}.
    (7x+3y)(8w+7k2)(7x+3y)(8w+7k^{2})
    (7x−3y)(8w+7k2)(7x-3y)(8w+7k^{2})
    (7x−3y)(8w−7k2)(7x-3y)(8w-7k^{2})
    (3x−7y)(8w+7k2)(3x-7y)(8w+7k^{2})

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations