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Adv. Algebra II/Trigonometry Unit 4: Polynomial Functions Flashcards | StudBud
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Adv. Algebra II/Trigonometry Unit 4: Polynomial Functions
Adv. Algebra II/Trigonometry Unit 4: Polynomial Functions
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1
Perform the operation (a^3-2a^2)-(3a^2-4a^3).
5a^3-5a^2
5a^3+5a^2
-3a^3-5a^2
-2a^3+2a^2
2
What are all the possible rational zeroes of the polynomial f\left(x\right)=4x^2-5x+8?
\pm\frac{1}{2},\pm\frac{1}{4},\pm1,\pm2,\pm4,\pm8
\pm2,\pm4,\pm8
\pm1,\pm2,\pm4,\pm8
\pm\frac{1}{2},\pm\frac{1}{4},\pm\frac{1}{8},\pm1,\pm2,\pm4
3
Which is NOT a possible rational zero of the function f\left(x\right)=2x^4-5x^3+10x^2-9?
-9
3
-\frac{1}{2}
\frac{2}{3}
4
The function f\left(x\right)=x^3-x^2-24x-36 has a solution at 6. What are its factors?
\left(x+6\right)\left(x-2\right)\left(x-3\right)
\left(x-6\right)\left(x-2\right)\left(x+3\right)
\left(x-6\right)\left(x+2\right)\left(x+3\right)
\left(x+6\right)\left(x+2\right)\left(x+3\right)
5
If y=(x+1)^4(x+2)^2, then which of the following is FALSE?
The range is all real numbers.
It has 2 ๐-intercepts.
The graph bounces off the x axis at \left(-1,0\right).
The degree is 6.
6
Classify the polynomial 46x.
Trinomial
Not a Polynomial
Monomial
Binomial
7
How many roots does this quadratic function have?
2 imaginary
2 irrational
1 real, 1 imaginary
2 real
8
Find the y-intercept of f\left(x\right)=โ2(x+1)^2(xโ1)^3.
โ2
-1
2
1
9
What is the degree of the polynomial -2x^2+x^3+2x-5?
4
-2
2
3
10
What is the leading coefficient of the polynomial 2x^3+5x+9
2
9
3
5
11
What is (5x^2)(3x)^2?
8x^4
45x^4
15x^4
45x^8
12
Use finite differences to determine type of function that fits the data.
Linear
Quartic
Cubic
Quadratic
13
What is equivalent to x+x+x+x?
4x
x^4
x^{\frac{1}{4}}
4^x
14
What is the constant in the expression 3x^2-4x+7?
-4
3
2
7
15
What is the end behavior of f\left(x\right)=2x^3+5x^2-x-9 as x\rightarrow \infty ?
f\left(x\right)\rightarrow-\infty
f\left(x\right)\rightarrow\infty
16
Which answer option correctly describes the graph shown?
The leading coefficient is negative.
The degree of the function is even.
The function is cubic.
There are 4 distinct solutions.
17
What is the leading coefficient of 2n^4-2n^5+3n+3?
-2
2
4
3
18
Which of the following is a polynomial?
\sqrt{x}
x^{\frac{1}{2}}-2
^{x^{-3}+x^2}
x^5+1.5x^2-\pi
19
Divide \left(2x^3-5x^2+3\right) by \left(x+1\right) using synthetic division.
2x^2-7x+3-\frac{2}{x+1}
2x^2-7x+7-\frac{4}{x+1}
2x^2-5x+7-\frac{3}{x+1}
2x^2+7x-5+\frac{4}{x+1}
20
What is the standard form of the polynomial -3+x+2x^2?
2x^2+x-3
x+2x^2-3
\left(2x+3\right)\left(x-1\right)
-2x^2+x+3
