# `y = 3x^2 -8x + 4` Write the quadratic in intercept form and give the function's zeros.

*print*Print*list*Cite

Student Comments

atyourservice | Student

We can solve this using the AC factoring method:

`3x^2 - 8x + 4`

Multiply a by c

3 x 4 = 12

Find factors of 12 that add up to b (-8)

these numbers will be -6 and -2, plug these in as b

`3x^2 - 6x - 2x + 4`

now group:

`(3x^2 - 6x) (-2x + 4)`

Factor out the greatest common factors:

3x (x - 2 ) - 2 (x - 2)

Put the numbers outside in a parentheses together :

(x - 2) (3x - 2)

x = 2 x =` 2/3 ` will be the zeros

The intercept form is known as y = a (x-p)(x-q)

the points where the graph crosses the x axis (The zeros) are the p and q

`y = a (x-2)(x-2/3)`