Question

How do you find the zeros by rewriting the function `y=2x^2-26x+24` in intercept form?

Answer 1

`x=1" or "x=12`

Explanation:

`"the intercept form is "y=a(x-p)(x-q)`

`"where p and q are the x-intercepts"`

`"to obtain this form factor the quadratic"`

`"to obtain the zeros set y = 0"`

`2x^2-26x+24=0`

`"divide all terms by 2"`

`x^2-13x+12=0`

`"the factors of "+12" which sum to "-13"`

`"are "-1" and "-12`

`(x-1)(x-12)=0larrcolor(blue)"in intercept form"`

`"equate each factor to zero and solve for "x`

`x-1=0rArrx=1`

`x-12=0rArrx=12`