topic badge

3.06 Roots and zeros

Interactive practice questions

Consider the function $f\left(x\right)=x^4-7x^3+12x^2+4x-16$f(x)=x47x3+12x2+4x16.

a

Is $5$5 a zero of the function?

Yes

A

No

B
b

Is $4$4 a zero of the function?

Yes

A

No

B
c

Is $-1$1 a zero of the function?

Yes

A

No

B
Easy
1min

Consider the function $f\left(x\right)=\left(x+1\right)^2\left(x-6\right)\left(x+2\right)^5$f(x)=(x+1)2(x6)(x+2)5.

Easy
1min

Consider the function $f\left(x\right)=-3\left(x-6\right)^4\left(x+2\right)^5x^3$f(x)=3(x6)4(x+2)5x3.

Easy
1min

Consider the function $f\left(x\right)=x^3-3x^2-5x+15$f(x)=x33x25x+15.

Easy
3min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

N-CN.9

Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

A-APR.3

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

F-IF.7c

Graph functions expressed symbolically and show key features of the graph; by hand in simple cases and using technology for more complicated cases. c. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

What is Mathspace

About Mathspace