What is the standard form of $y= (x – 1) (x -5) (x + 3)$ ?

Question

1771 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-17T05:14:41

$y = x^3 -3x^2 -13x + 15$

Given: $y = (x - 1)(x - 5) (x+3)$

Distribute the first two factors using FOIL :

$y = (x^2 -5x -1x +5)(x + 3)$

Add like terms: $" "y = (x^2 -6x + 5)(x+3)$

FOIL again:

$y = x^3 -6x^2 +5x +3x^2 -18x + 15$

Add like terms: $" "y = x^3 -3x^2 -13x + 15$

What is the standard form of y= (x – 1) (x -5) (x + 3) y= (x – 1) (x -5) (x + 3) ?