Question

What is the standard form of `y=(x - 8) (x + 10) (x - 40) (x + 8)`?

Answer 1

`y = x^4-30x^3-464x^2+1920x+25600`

Explanation:

`y = (x-8)(x+10)(x-40)(x+8)`

`=(x-8)(x+8)(x+10)(x-40)`

`=(x^2-64)(x^2-30x-400)`

`=x^2(x^2-30x-400)-64(x^2-30x-400)`

`=x^4-30x^3-400x^2-64x^2+1920x+25600`

`=x^4-30x^3-464x^2+1920x+25600`

Standard form arranges the powers of `x` (or whatever the variable is) in descending order.