Question

Find the zeros of the function by rewriting in intercept form.

Answer 1

The intercept form is $y=a(x-p)(x-q)$ where p, q - the zeroes of a function.

1.
$y=2x^2-4x \\ y=2x(x-2) \\ y=2(x-0)(x-2) \\ \hbox{the zeroes - }\boxed{x=0 \ and \ x=2}$

2.
$y=2x^2-11x-21 \\ y=2x^2-14x+3x-21 \\ y=2x(x-7)+3(x-7) \\ y=(2x+3)(x-7) \\ y=2(x+\frac{3}{2})(x-7) \\ y=2(x-(-\frac{3}{2}))(x-7) \\ \hbox{the zeroes - }\boxed{x=-\frac{3}{2} \ and \ x=7}$