topic badge
CanadaON
Grade 12

Writing a Function from its Zeros

Interactive practice questions

Find the quadratic equation that has solutions of $2+\sqrt{7}$2+7 and $2-\sqrt{7}$27, and a leading coefficient of $1$1.

Give your final answer in the form $ax^2+bx+c=0$ax2+bx+c=0.

Easy
5min

Determine the equation of a parabola whose $x$x-intercepts are $-10$10 and $4$4, and whose $y$y-intercept is $-40$40.

Easy
3min

A parabola has equation of the form $y=\left(x-a\right)\left(x-b\right)$y=(xa)(xb).

Easy
3min

The cubic function that has been graphed passes through the point $\left(1,8\right)$(1,8). Find, in factored form, the equation of the cubic function $y$y.

Let the leading coefficient be $a$a if necessary.

Easy
5min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

12F.C.1.8

Determine the equation of the family of polynomial functions with a given set of zeros and of the member of the family that passes through another given point

What is Mathspace

About Mathspace