MATH SOLVE

4 months ago

Q:
# factor completely 1. 7x^3y+14x^2y^3-7x^2y^2a - 7x^2(xy+2y^3-y^2)b - 7x^2y(x+2y^2-y)c - 7(x^3y+2x^2y^3-x^2y^2d - prime2. 5x(x+3)+6(x+3)a - (x+3)(30x)b - (x+3)(5x+6)c - (x+3)(11x)d - prime3. 8x^5+2x^4+4x^2a - prime b- 2(4x^5+x^4+2x^2)c - 2x(4x^4+x^3+2x)d - 2x^2(4x^3+x^2+2)

Accepted Solution

A:

Answer:B) B)D)Step-by-step explanation:1. [tex]7x^3y+14x^2y^3-7x^2y^2[/tex] The GCF of all the term of the above polynomial is [tex]7x^2y[/tex] , hence we take it outside and form a bracket[tex]7x^2y(x+2y^2-y)[/tex] The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer 2. [tex]5x(x+3)+6(x+3)[/tex] The GCF of all the term of the above polynomial is [tex](x+3)[/tex] , hence we take it outside and form a bracket[tex](x+3)(5x+6)[/tex] The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer 3. [tex]8x^5+2x^4+4x^2[/tex]The GCF of all the term of the above polynomial is [tex]2x^2[/tex] , hence we take it outside and form a bracket[tex]2x^2(4x^3+x^2+2)[/tex] The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer