Lesson 6 Different Forms

Lesson 6 Different Forms

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Multiple Choice

Which graph represents f(x)?

• The graph with the solid line.

• The graph with the dashed line.

Multiple Choice

Which graph represents g(x)?

• The graph with the solid line.

• The graph with the dashed line.

Multiple Choice

Rewrite the polynomial in standard form.

 $f\left(x\right)=\left(x+1\right)\left(x+3\right)\left(x-4\right)$  

•  $x^3-12$  

•  $x^3-12x-12$  

•  $x^3-12x^2-15x-12$  

•  $x^3-x^2+3x-4$  

Multiple Choice

Rewrite the polynomial in standard form.

What is the degree of the polynomial?
 $f\left(x\right)=\left(x+1\right)\left(x+3\right)\left(x-4\right)$  

• 3

• 2

•  1

Multiple Choice

Rewrite the polynomial in standard form.

What is the constant term?
 $f\left(x\right)=\left(x+1\right)\left(x+3\right)\left(x-4\right)$  

• 3

• -4

•  -12

• -15

Multiple Choice

Rewrite the polynomial in standard form.

 $f\left(x\right)=3\left(x+1\right)\left(x+3\right)\left(x-4\right)$  

•  $3x^3-36$  

•  $3x^3-36x-36$  

•  $3x^3-36x^2-45x-36$  

•  $3x^3-3x^2+9x-12$  

Multiple Choice

Rewrite the polynomial in standard form.

What is the degree of the polynomial?
 $f\left(x\right)=3\left(x+1\right)\left(x+3\right)\left(x-4\right)$  

• 6

• 1

• 3

• -8 

Multiple Choice

Rewrite the polynomial in standard form.

What is the constant term?
 $f\left(x\right)=3\left(x+1\right)\left(x+3\right)\left(x-4\right)$  

• -36

• -18

• 3

• -4

Open Ended

Multiple Choice

Which of these standard form equations is equivalent to (x+1)(x−2)(x+4)(3x+7)?

• $x^4+10x^3+15x^2-50x-56$

• $x^4+10x^3+15x^2-50x+56$

• $3x^4+16x^3+3x^2-66x-56$

• $3x^4+16x^3+3x^2-66x+56$

Multiple Select

Select all polynomial expressions that are equivalent to

 $5x^3+7x-4x^2+5$  

•  $13x^5$  

•  $5x^3-4x^2+7x+5$  

•  $5x^3+4x\cdot2+7x+5$  

•  $5+4x-7x^2+5x^3$  

Multiple Select

The points on the graph from left to right are A, B, C, D, E, F and G. Which points are relative minimums?

• B

• C

• D

• E

• F

Multiple Choice

What are the x-intercepts of the graph of y=(3x+8)(5x−3)(x−1)?

• $x=\frac{8}{3},\ x=\frac{3}{5},\ x=1$

• $x=-\frac{8}{3},\ x=\frac{3}{5},\ x=1$

• $x=\frac{8}{3},\ x=-\frac{3}{5},\ x=-1$

• $x=\frac{3}{8},\ x=\frac{5}{3},\ x=1$