Question

Which is a factor of 2x2y4 − 10x2y + 14y3 − 70?

Answer 1

Answer:

B) x^2y + 7

Step-by-step explanation:

we are given

$2x^2y^4-10x^2y+14y^3-70$

We can use grouping method to factor it

$(2x^2y^4-10x^2y)+(14y^3-70)$

$(2x^2y\times y^3-5\times 2x^2y)+(14y^3-14\times 5)$

now, we can factor common terms

$2x^2y(y^3-5)+14(y^3-5)$

$(y^3-5)(2x^2y+14)$

so, we get

$2x^2y^4-10x^2y+14y^3-70=(y^3-5)(2x^2y+14)$

$2x^2y^4-10x^2y+14y^3-70=(y^3-5)2(x^2y+7)$

$2x^2y^4-10x^2y+14y^3-70=2(y^3-5)(x^2y+7)$

we can see that x^2y+7 is one of factor