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  5. Aa C&c Unit 4 (modeling Polynomial Functions) Test

AA C&C Unit 4 (Modeling Polynomial Functions) TEST

Authored by Khaliah Jones

Mathematics

11th Grade

CCSS covered

Used 35+ times

AA C&C Unit 4 (Modeling Polynomial Functions) TEST
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30 questions

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1.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Factor the expression.

x4−14x2−32x^4-14x^2-32

Choose ALL that apply!

(x2−4)(x2−8)\left(x^2-4\right)\left(x^2-8\right)

(x−16)(x+2)\left(x-16\right)\left(x+2\right)

(x2−16)(x2+2)\left(x^2-16\right)\left(x^2+2\right)

(x+4)(x−4)(x2+2)\left(x+4\right)\left(x-4\right)\left(x^2+2\right)

(x+2)(x−2)(x2−8)\left(x+2\right)\left(x-2\right)\left(x^2-8\right)

Tags

CCSS.HSA.APR.C.4

2.

DRAG AND DROP QUESTION

2 mins • 1 pt

Complete the steps to solve −x4+12x2−27=0-x^4+12x^2-27=0 by factoring.

Step 1 - Factor out the negative: ​ (a)  

Step 2 - Factor the trinomial: ​ (b)  

Step 3 - Factor the Difference of Squares: ​ (c)  

Step 4 - Solve: ​ (d)  

−(x4−12x2+27)=0-\left(x^4-12x^2+27\right)=0  

−(x2−9)(x2−3)=0-\left(x^2-9\right)\left(x^2-3\right)=0  

−(x+3)(x−3)(x2−3)=0-\left(x+3\right)\left(x-3\right)\left(x^2-3\right)=0  

x=±3, ±3x=\pm3,\ \pm\sqrt[]{3}  

x=±3, ±3ix=\pm3,\ \pm\sqrt[]{3}i

Tags

CCSS.HSA-REI.B.4B

3.

DROPDOWN QUESTION

2 mins • 1 pt

Factor by grouping to find all real solutions to the equation 4x3−12x2−9x+274x^3-12x^2-9x+27 .

Step 1 - factor out GCF's: ​ (a)   (x-3)​ (b)   (x-3)

Step 2 - "commons & leftovers" : ​ (x-3) ​ (c)  

Step 3 - factor difference of squares: (x-3)​ (d)  

Step 4 - Solve: ​ (e)  

4x24x^2  

−9-9  

(4x2−9)\left(4x^2-9\right)  

(2x+3)(2x−3)\left(2x+3\right)\left(2x-3\right)  

x =3, ±32x\ =3,\ \pm\frac{3}{2}  

x=±3, ±23x=\pm3,\ \pm\frac{2}{3}
<
(x+3)\left(x+3\right)
+9+9

Tags

CCSS.HSF-IF.C.7C

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A polynomial p has zeros where x=−35, x=2, and x=−4.x=-\frac{3}{5},\ x=2,\ and\ x=-4.

What could be the equation of p?

p(x)=(5x−3)(x+2)(x−4)p\left(x\right)=\left(5x-3\right)\left(x+2\right)\left(x-4\right)

p(x)=(5x+3)(x−2)(x+4)p\left(x\right)=\left(5x+3\right)\left(x-2\right)\left(x+4\right)

p(x)=(3x−5)(x+2)(x−4)p\left(x\right)=\left(3x-5\right)\left(x+2\right)\left(x-4\right)

p(x)=(5x−3)(x+2)(x+4)p\left(x\right)=\left(5x-3\right)\left(x+2\right)\left(x+4\right)

Tags

CCSS.HSA.APR.B.3

5.

HOTSPOT QUESTION

2 mins • 1 pt

Plot all the zeros (x-intercepts) of the polynomial in the interactive graph.

p(x)=(x+2)(2x+7)(x−1)(x−3)p\left(x\right)=\left(x+2\right)\left(2x+7\right)\left(x-1\right)\left(x-3\right)

Tags

CCSS.HSA.APR.B.3

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What could be the equation of the graph p pictured ?

p(x)=(x+1)(7x−2)(x+2)p\left(x\right)=\left(x+1\right)\left(7x-2\right)\left(x+2\right)

p(x)=(x−1)(7x−2)(x+2)p\left(x\right)=\left(x-1\right)\left(7x-2\right)\left(x+2\right)

p(x)=(x−1)(2x−7)(x+2)p\left(x\right)=\left(x-1\right)\left(2x-7\right)\left(x+2\right)

p(x)=(x+1)(2x+7)(x−2)p\left(x\right)=\left(x+1\right)\left(2x+7\right)\left(x-2\right)

Tags

CCSS.HSA.APR.B.3

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

The graph shows the polynomial f(x) of degree 5. 



Which is the equation of the graph shown?

f(x) = (x−4)3(x+2)2f\left(x\right)\ =\ \left(x-4\right)^3\left(x+2\right)^2  

f(x) = (x+4)(x−2)2f\left(x\right)\ =\ \left(x+4\right)\left(x-2\right)^2  

f(x) = (x+4)3(x−2)f\left(x\right)\ =\ \left(x+4\right)^3\left(x-2\right)  

f(x) = (x−4)2(x+2)3f\left(x\right)\ =\ \left(x-4\right)^2\left(x+2\right)^3  

Tags

CCSS.HSA.APR.B.3

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