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4.06 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

Yes

A

No

B
b

Is $4$4 a zero of the function?

Yes

A

No

B

Yes

A

No

B
c

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

Yes

A

No

B

Yes

A

No

B
Easy
Approx 2 minutes
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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.

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.

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

Outcomes

AII.8

Investigate and describe the relationships among solutions of an equation, zeros of a function, x-intercepts of a graph, and factors of a polynomial expression

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