Question

What is the missing expression? x 8 + 3x 5 = x5(_____)

Answer 1

The missing expression is clearly a part of the factored polynomial.

We have to factor the polynomial.

x⁸+3x⁵

Find the GCF between 1,3,x,5,8

The GCF is x⁵

Divide the polynomial by x⁵

x⁵(x³+3)

Answer 2

I'm assuming that x 8 = x⁸ and 3x 5 = 3x⁵.

So let's solve.

x⁸ + 3x⁵ = x⁵(____)
x⁸ + 3x⁵ = x⁵(x³ __)
x⁸ + 3x⁵ = x⁵(x³ + 3)

Therefore the missing expression is (x³ + 3)

Sup fam