Question

Factor the following polynomial completely: 5x^4+20x^3-105x^2

Answer 1

Assignment: $\bold{Simplify \ Equation: \ 5x^4+20x^3-105x^2}$

<><><><><>

Answer: $\boxed{\bold{5x^2\left(x-3\right)\left(x+7\right)}}$

<><><><><>

Explanation: $\downarrow\downarrow\downarrow$

<><><><><>

[ Step One ] Factor Out Common Term $\bold{5x^2}$

$\bold{5x^2\left(x^2+4x-21\right)}$

[ Step Two ] Factor $\bold{x^2+4x-21}$

$\bold{\left(x-3\right)\left(x+7\right)}$

[ Step Three ] Rewrite Equation

$\bold{5x^2\left(x-3\right)\left(x+7\right)}$

<><><><><><><>

$\bold{\rightarrow Mordancy \leftarrow}$

Answer 2

Factor 5x4+20x3−105x2

5x4+20x3−105x2

=5x2(x−3)(x+7)

Answer:

5x2(x−3)(x+7)