Math Calculators, Lessons and Formulas

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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 $56xw+49xk^{2}-24yw-21yk^{2}.$
 $(7x+3y)(8w+7k^{2})$ $(7x-3y)(8w+7k^{2})$ $(7x-3y)(8w-7k^{2})$ $(3x-7y)(8w+7k^{2})$