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Worksheetspolynomials review WS
Total questions: 20
Worksheet time: 25mins
The function shown has:
Degree two with negative leading coefficient.
Degree three with negative leading coefficient.
Degree four with negative leading coefficient.
Degree four with positive leading coefficient.
Which of the following could be a possible equation for the function shown?
f(x) =-2x3 + x2 - 5x + 1
f(x) = 2x3 - 4x2 + x + 1
f(x) = 3x2 + 5x + 1
f(x) = -2x3 +3x - 1
State the minimum degree of the function shown:
3
4
5
6
Select all the graphs which show even degree functions.
Which description best matches the function shown:
Odd degree with positive leading coefficient.
Even degree with positive leading coefficient.
Degree three, with negative leading coefficient.
Degree four, with negative leading coefficient.
3x2 – 8x + 1
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?
The degree of the polynomial determines the number of roots/x-int
How should the polynomial function f(x) = 2x + x3 + 3x5 + 4 be written in standard form?
𝑓(𝑥) = 𝑥3 + 2𝑥 + 3𝑥5+ 4
𝑓(𝑥) = 4 + 3𝑥5+ 2𝑥 + 𝑥3
𝑓(𝑥) = 4 + 2𝑥 + 𝑥3 + 3𝑥5
𝑓(𝑥) = 3𝑥5+ 𝑥3+ 2𝑥 + 4
What is the behavior of the graph of 𝑃(𝑥) = 𝑥4 – 2𝑥2 + 1?
rises to the left, falls to the right
rises to the right, falls to the left
falls to both sides
rises to both sides
What is the y - intercept of the function 𝑦 = 𝑥3 – 4𝑥2 + 𝑥 + 6
12
10
6
4
Which functions have a negative leading coefficient? (You may choose more than one)
A
B
C
D
Convert into standard form
y=(x-1)(x-2)(x+1)
y=x3−2x2−x+2
y = x3+2
y=x3−3x +2
none of the above
write in standard form y = (x−2)(x+1)2
y=x3+x2−3x−2
none of these
y=x3−3x−2
y=x2−2
