Question

how you would factor 8x^6 – 56x^3 + 98.

could you walk me trough the solving process step by step

Answer 1

Alright. First factor out the GCF.
2(4x^6 - 28x^2 + 49)
Do you recognize how 4x^6 - 28x^2 + 49 is a perfect square?

Answer 2

the gcf is 2?

Answer 3

Yeah. After that, do you see how it forms a perfect square pattern though?

Answer 4

no its kinda hard bc of the ^s

Answer 5

but im trying to break them down

Answer 6

\[2(4x^{6} - 28x^{3} + 49)\]

Answer 7

\[2(4x ^{6}-28x ^{2}+49)\]

Answer 8

dang lol

Answer 9

ok what is that again?

Answer 10

perfect square

Answer 11

A perfect square trinomial looks like this.
\[(a - b)^{2} = a^{2} - 2ab + b^{2}\]

Answer 12

oooo ok i gotcha, so what is the next step after you realize its a perfect square

Answer 13

You factor it based on that fact.
\[2(4x^{6} - 28x^{3} + 49) = 2(2x^{3} - 7)(2x^{3} - 7)\]That's the farthest you can go I think at this point.

Answer 14

okay gotcha well dang that prob wasnt a good one to choose since the other problems dont have perfect square

Answer 15

Yeah. lol

Answer 16

5x3 – 35x2 + 60x. would that be a good one?

Answer 17

there

Answer 18

we got to 2(2x3−7)(2x3−7)

Answer 19

Do you need to factor x^3 – 35x^2 + 60x?

Answer 20

yes but i need to know how to get the factors of the last problem

Answer 21

You mean 2(2x3−7)(2x3−7)?

Answer 22

yes***

Answer 23

The factors are 2 and 2x^3 - 7

Answer 24

Or you might have to say 2 and 2x^3 - 7 multiplicity 2.

Answer 25

what does that mean

Answer 26

THose are the factors.

Answer 27

ty do you wan me to open a new window for the other problem