Question

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

Answer 1

x^2 (4x + 1) - 2x ( 4x + 1)

Explanation:

Check Via multiplication

x^2(4x) = 4x^3.

x^2(1) = x^2.

That gives us the 4x^3 + x^2.

-2(4x) = -8x.

-2(1) = -2.

that gives us the 8x - 2

Therefore, x^2 (4x + 1) - 2x ( 4x + 1) = 4x^3 + x^2 - 8x - 2

Hope this helps. Have a great day!

~a.w.e.s.w.a.n♥

Answer 2

Hey there!

1. For the first step you'll have to find your common multiples of each of the factors that you may have
2. Then, look for your variables in the terms/ between each of the factors
3. Once when you do that, factor it (like the pairs that factor out)

Now, let's solve your particular equation now

• 
  `\bold{Factor}` →
  `\bold{4x^3+x^2-8x-2}`
• 
  `\bold{Pair}`
  `\bold{off:}`
  `\bold{-8x}` and also,
  `\bold{4x^3}` →
  `\bold{(4x+1)(x^2-2)}`
• Then, find your common factors, which is:
  `\bold{4x}`
• There's more steps to solve this, but it will take a while to solve it
• So,
  `\boxed{\boxed{\bold{Answer: (4x+1)(x^2-2)}}}`

Good luck on your assignment and enjoy your day!

~
`\bold{LoveYourselfFirst:)}`