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)?

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

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

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

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