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Week 3

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Last updated about 2 months ago
7 questions
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Question 1
1.

Select all equations that represent a polynomial function.

Question 2
2.

If (x+2) is a factor of f(x)=x^{3}+3x^2-kx+4, determine the value of k

Question 3
3.

For each of the following binomials below, determine if it is a factor of f(x)=4x^{4}-x^{3}-8x^{2}-40. Explain your reasoning for the choices.

Question 4
4.

Question 5
5.
A polynomial function has a range of [5, \infty). The degree of the function is__________ and the leading coefficient is __________.
Question 6
6.
A polynomial function is represented by f(x)=-2x(x-2)^{2}(x+1). The function has a degree of __________. It has an end behaviour of Q__________ to Q__________. It has __________ x-intercepts. The root with a multiplicity of 2 is at __________
Question 7
7.

Graph the polynomial y=\frac{1}{4}(x-2)(2x+5)(x+4)^{2}.
For the polynomial function above, the root of multiplicity 2 is ...

y=x^{4}+2x^{3}-2^x+3
y=\sqrt5x+3
y=\frac{1}{5}x^{3}-2x+6
x+8
A function with three turning points and end behaviour from Quadrant 3 to Quadrant 4 has the following characteristics
Has a negative leading coefficient
Has a positive leading coefficient
Has a minimum of 1 x-int
Has a minimum of 1 y-int
Is an odd function
Has a maximum of 1 y-int
Has a minimum degree of 2
Has a minimum degree of 4
Has a minimum of 2 x-int