What is the standard form of $y= (3x – 7) (3x – 2)$ ?

Question

1765 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-14T23:27:06

$y = 9x^2 - 27x + 14$

The standard form of a polynomial of degree $n$ with coefficients $a_n$ is:

y = $a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0$

For a degree $2$ (quadratic) polynomial, this is

$y = a_2x^2 + a_1x + a_0$

or the more familiar

$y = ax^2 + bx + c$

To change it from its factored form to the standard form, we simply multiply and combine like terms.

$(3x - 7)(3x - 2) = 9x^2 - 6x - 21x + 14$
$= 9x^2 - 27x +14$

What is the standard form of y= (3x – 7) (3x – 2) y= (3x – 7) (3x – 2) ?