Question

can someone please explain the process of how to factor -5x+32x^3+4(10x^4-1)? Im just really lost on how to do this

Answer 1

\[-5x+32x^3+4(10x^4-1)\]?

Answer 2

yes, thats the problem

Answer 3

yikes
my guess is to multiply out first, and start with
\[40x^4+32x^3-5x-4\] and then maybe try to find the zeros to factor it

Answer 4

oh i see the gimmick

Answer 5

this is the dreaded "factor by grouping"
factor an \(8x^3\) out of the first two terms

Answer 6

ohhh okay

Answer 7

\[40x^4+32x^3-5x-4\\
8x^3(5x+4)-5x-4\]

Answer 8

then
\[8x^3(5x-4)-1(5x+4)\]

Answer 9

okay then is that my final answer?

Answer 10

finally
\[(8x^3-1)(5x-4)\]

Answer 11

oh no hardly
not done yet

Answer 12

i made a typo
the line \[8x^3(5x-4)-1(5x+4)\] should be \[8x^3(5x+4)-1(5x+4)\]

Answer 13

oh :( so is it (2x-1)(4x^2+2x+1)(5x+4)

Answer 14

yeah i think so

Answer 15

okay thanks

Answer 16

actually i am sure
yw