3.05 Zeros of polynomial functions
Adaptive
Worksheet
Interactive practice questions
Given $\left(x+8\right)$(x+8) is a factor of the function $f\left(x\right)=x^3+2x^2-75x-216$f(x)=x3+2x2−75x−216.
a
Write $f\left(x\right)$f(x) as a product of linear factors.
b
State all of the roots of $f\left(x\right)$f(x) in the form $x=a$x=a on the same line separated by commas.
Medium
1min
Given $\left(x-6\right)$(x−6) is a factor of the function $f\left(x\right)=x^3-3x^2-28x+60$f(x)=x3−3x2−28x+60.
Medium
1min
If $6i$6i is a root of $g\left(x\right)$g(x), what must also be a root of $g\left(x\right)$g(x)?
Easy
< 1min
Given $\left(x-6i\right)$(x−6i) is a factor of the function $f\left(x\right)=x^3+2x^2+36x+72$f(x)=x3+2x2+36x+72.
Medium
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account