Question

Factor completely

1. 7x^3y+14x^2y^3-7x^2y^2

a - 7x^2(xy+2y^3-y^2)
b - 7x^2y(x+2y^2-y)
c - 7(x^3y+2x^2y^3-x^2y^2
d - prime

2. 5x(x+3)+6(x+3)

a - (x+3)(30x)
b - (x+3)(5x+6)
c - (x+3)(11x)
d - prime

3. 8x^5+2x^4+4x^2

a - prime
b- 2(4x^5+x^4+2x^2)
c - 2x(4x^4+x^3+2x)
d - 2x^2(4x^3+x^2+2)

Answer 1

B)

B)

D)

Explanation:

1.
`7x^3y+14x^2y^3-7x^2y^2`

The GCF of all the term of the above polynomial is
`7x^2y` , hence we take it outside and form a bracket

`7x^2y(x+2y^2-y)`

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

2.
`5x(x+3)+6(x+3)`

The GCF of all the term of the above polynomial is
`(x+3)` , hence we take it outside and form a bracket

`(x+3)(5x+6)`

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

3.
`8x^5+2x^4+4x^2`

The GCF of all the term of the above polynomial is
`2x^2` , hence we take it outside and form a bracket

`2x^2(4x^3+x^2+2)`

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer