How does a factor's degree affect the graph's behavior at the root? *Check ALL that apply!!

An ODD degree of 1 will CUT straight through the x-axis

An EVEN degree will BOUNCE at the x-axis

An ODD degree of 3 (or higher) will SQUIGGLE through the x-axis.

An ODD degree of 3 (or higher) will CUT straight through the x-axis.

An EVEN degree will SQUIGGLE through the x-axis

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Math

Algebra

Graphs Of Polynomials

Aa C&c Quiz Review Graphs Of Polynomials (parts 1 3)

AA C&C Quiz REVIEW Graphs of Polynomials (Parts 1-3)

Authored by Khaliah Jones

Mathematics

11th Grade

CCSS covered

Used 35+ times

AA C&C Quiz REVIEW Graphs of Polynomials (Parts 1-3)

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18 questions

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MULTIPLE SELECT QUESTION

2 mins • 1 pt

Factor the expression.
$x^4-6x^2+8$
Choose ALL that apply!

$\left(x^2-4\right)\left(x^2+2\right)$

$\left(x-4\right)\left(x-2\right)$

$\left(x^2-4\right)\left(x^2-2\right)$

$\left(x+2\right)\left(x-2\right)\left(x^2-2\right)$

$\left(x+2\right)\left(x-2\right)\left(x+1\right)\left(x-1\right)$

Tags

CCSS.HSA.APR.C.4

MATH RESPONSE QUESTION

2 mins • 1 pt

Factor the expression completely.
$x^4-2x^2-3$

$\left(x^2-3\right)\left(x^2+1\right)$

Mathematical Equivalence

Tags

CCSS.HSA.APR.C.4

DRAG AND DROP QUESTION

2 mins • 1 pt

Complete the steps to solve $-x^4+14x^2-45=0$ 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)

$-\left(x^4-14x^2+45\right)=0$

$-\left(x^2-9\right)\left(x^2-5\right)=0$

$x=\pm3,\ \pm\sqrt[]{5}$

x=\pm3,\ \pm\sqrt[]{5}i

Tags

CCSS.HSA-REI.B.4B

DROPDOWN QUESTION

2 mins • 1 pt

Factor by grouping to find all real solutions to the equation $16x^3-48x^2-x+3$ .
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)

$16x^2$

$-1$

$\left(16x^2-1\right)$

$\left(4x+1\right)\left(4x-1\right)$

$x\ =3,\ \pm\frac{1}{4}$

x=\pm3,\ \pm4

\left(x+3\right)

+1

Tags

CCSS.HSF-IF.C.7C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Plot the zeros of this polynomial
$p\left(x\right)=3x\left(x-2\right)\left(2x-7\right)$

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A polynomial p has zeros where $x=\frac{3}{5},\ x=-2,\ and\ x=4.$
What could be the equation of p?

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

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

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

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

Tags

CCSS.HSA.APR.B.3

HOTSPOT QUESTION

2 mins • 1 pt

Plot all the zeros (x-intercepts) of the polynomial in the interactive graph.
$p\left(x\right)=\left(x+2\right)\left(2x+7\right)\left(x-1\right)\left(x-3\right)$

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What could be the equation of p ?

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

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

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

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

Tags

CCSS.HSA.APR.B.3

MATCH QUESTION

2 mins • 1 pt

Match each polynomial function to its graph.

$t\left(x\right)=-2x^2-24x-64$

$m\left(x\right)=x^3+3x^2+2x+1$

$a\left(x\right)=x^2+14x+54$

$h\left(x\right)=-x^3+3x+3$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

10.

MATCH QUESTION

2 mins • 1 pt

Given the polynomials:
$c\left(x\right)=x^3-15x^2+72x-112$
$a\left(x\right)=x^2+5$
$k\left(x\right)=x^3+21x^2+144x+324$
$e\left(x\right)=2x^2+28x+96$
match each polynomial function to its graph.

$c\left(x\right)=\left(x-4\right)^2\left(x-7\right)$

$e\left(x\right)=2\left(x+8\right)\left(x+6\right)$

$a\left(x\right)=x^2+5$

$k\left(x\right)=\left(x+9\right)\left(x+6\right)^2$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

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AA C&C Quiz REVIEW Graphs of Polynomials (Parts 1-3)

Factor the expression. x4−6x2+8x^4-6x^2+8x4−6x2+8 Choose ALL that apply!

Factor the expression completely. x4−2x2−3x^4-2x^2-3x4−2x2−3

Complete the steps to solve −x4+14x2−45=0-x^4+14x^2-45=0−x4+14x2−45=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)

Factor by grouping to find all real solutions to the equation 16x3−48x2−x+316x^3-48x^2-x+316x3−48x2−x+3 .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)

Plot the zeros of this polynomial p(x)=3x(x−2)(2x−7)p\left(x\right)=3x\left(x-2\right)\left(2x-7\right)p(x)=3x(x−2)(2x−7)

A polynomial p has zeros where x=35, x=−2, and x=4.x=\frac{3}{5},\ x=-2,\ and\ x=4.x=53​, x=−2, and x=4. What could be the equation of p?

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)p(x)=(x+2)(2x+7)(x−1)(x−3)

What could be the equation of p ?

Match each polynomial function to its graph.

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Discover more resources for Mathematics

Factor the expression.
$x^4-6x^2+8$
Choose ALL that apply!

Factor the expression completely.
$x^4-2x^2-3$

Complete the steps to solve $-x^4+14x^2-45=0$ 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)

Factor by grouping to find all real solutions to the equation $16x^3-48x^2-x+3$ .
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)

Plot the zeros of this polynomial
$p\left(x\right)=3x\left(x-2\right)\left(2x-7\right)$

A polynomial p has zeros where $x=\frac{3}{5},\ x=-2,\ and\ x=4.$
What could be the equation of p?

Plot all the zeros (x-intercepts) of the polynomial in the interactive graph.
$p\left(x\right)=\left(x+2\right)\left(2x+7\right)\left(x-1\right)\left(x-3\right)$