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Questions and Answers
Which expression is a binomial?
Which expression is a binomial?
- 2𝑥𝑥
- 7𝑥𝑥 6 + 3𝑥𝑥 - 2
- 3𝑥𝑥 2 + 2𝑥𝑥 + 4
- 𝑥𝑥 2 (correct)
What is the degree of the polynomial 5𝑥𝑥 + 4𝑥𝑥 2 + 3𝑥𝑥 3 − 5𝑥𝑥?
What is the degree of the polynomial 5𝑥𝑥 + 4𝑥𝑥 2 + 3𝑥𝑥 3 − 5𝑥𝑥?
- 4 (correct)
- 2
- 6
- 1
What is the number of terms in the polynomial (2𝑎𝑎 − 5)(𝑎𝑎2 − 1)?
What is the number of terms in the polynomial (2𝑎𝑎 − 5)(𝑎𝑎2 − 1)?
- 8
- 6
- 5
- 4 (correct)
Simplify (9𝑥𝑥 3 − 4𝑥𝑥 + 2) − (𝑥𝑥 3 + 3𝑥𝑥 2 + 1). Then name the polynomial by degree.
Simplify (9𝑥𝑥 3 − 4𝑥𝑥 + 2) − (𝑥𝑥 3 + 3𝑥𝑥 2 + 1). Then name the polynomial by degree.
What are the zeros of the polynomial function 𝑦 = (𝑥 − 3)(2𝑥 + 1)(𝑥 − 1)?
What are the zeros of the polynomial function 𝑦 = (𝑥 − 3)(2𝑥 + 1)(𝑥 − 1)?
What is the factored form of 2𝑥𝑥 3 + 5𝑥𝑥 2 − 12𝑥?
What is the factored form of 2𝑥𝑥 3 + 5𝑥𝑥 2 − 12𝑥?
How many terms are there in the simplified form of $x^4 - 2x^3 - 23x^2 - 12x + 36$?
How many terms are there in the simplified form of $x^4 - 2x^3 - 23x^2 - 12x + 36$?
What is a rational root of the equation $x^3 + 3x^2 - 6x - 8 = 0$?
What is a rational root of the equation $x^3 + 3x^2 - 6x - 8 = 0$?
What are the zeros of the function $f(x) = x^3 - 3x^2 - 15x + 125$?
What are the zeros of the function $f(x) = x^3 - 3x^2 - 15x + 125$?
Which number is a zero of $f(x) = x^3 + 6x^2 + 9x$ with multiplicity 1?
Which number is a zero of $f(x) = x^3 + 6x^2 + 9x$ with multiplicity 1?
One root of the equation $x^3 + x^2 - 2 = 0$ is 1. What are the other two roots?
One root of the equation $x^3 + x^2 - 2 = 0$ is 1. What are the other two roots?
Write an algebraic expression that models 'Seven less than the number t'.
Write an algebraic expression that models 'Seven less than the number t'.
Simplify: $5x - 3x^2 + 16x^2$
Simplify: $5x - 3x^2 + 16x^2$
Solve the equation: $7y + 5 = 6y + 11$.
Solve the equation: $7y + 5 = 6y + 11$.
Find the slope of the line through the points (-3, -2) and (1, 6).
Find the slope of the line through the points (-3, -2) and (1, 6).
Write the equation of the line through the point (7,1) and perpendicular to $y = -x + 3$. Use slope-intercept form.
Write the equation of the line through the point (7,1) and perpendicular to $y = -x + 3$. Use slope-intercept form.
Find the domain and range of the relation ${(1,3), (2,5), (3, −1), (4,0), (5,6)}$ and determine whether it is a function or not.
Find the domain and range of the relation ${(1,3), (2,5), (3, −1), (4,0), (5,6)}$ and determine whether it is a function or not.
Determine whether the relation $f(x) = -3x + 2$, where $x = 3$, is a function or not.
Determine whether the relation $f(x) = -3x + 2$, where $x = 3$, is a function or not.
Flashcards
Binomial Definition
Binomial Definition
A polynomial with exactly two terms.
Polynomial Degree (5𝑥𝑥 + 4𝑥𝑥 2 + 3𝑥𝑥 3 − 5𝑥𝑥)
Polynomial Degree (5𝑥𝑥 + 4𝑥𝑥 2 + 3𝑥𝑥 3 − 5𝑥𝑥)
The highest power of the variable in a polynomial.
Polynomial Terms ((2𝑎𝑎 − 5)(𝑎𝑎2 − 1))
Polynomial Terms ((2𝑎𝑎 − 5)(𝑎𝑎2 − 1))
Number of separate parts of a polynomial separated by addition or subtraction.
Polynomial Subtraction Example (9𝑥𝑥 3 − 4𝑥𝑥 + 2) − (𝑥𝑥 3 + 3𝑥𝑥 2 + 1)
Polynomial Subtraction Example (9𝑥𝑥 3 − 4𝑥𝑥 + 2) − (𝑥𝑥 3 + 3𝑥𝑥 2 + 1)
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Polynomial Zeros (𝑦 = (𝑥 − 3)(2𝑥 + 1)(𝑥 − 1))
Polynomial Zeros (𝑦 = (𝑥 − 3)(2𝑥 + 1)(𝑥 − 1))
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Factored Form of 2𝑥𝑥 3 + 5𝑥𝑥 2 − 12𝑥
Factored Form of 2𝑥𝑥 3 + 5𝑥𝑥 2 − 12𝑥
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Polynomial Terms count (x^4 - 2x^3 - 23x^2 - 12x + 36)
Polynomial Terms count (x^4 - 2x^3 - 23x^2 - 12x + 36)
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Rational Root of (x^3 + 3x^2 - 6x - 8 = 0)
Rational Root of (x^3 + 3x^2 - 6x - 8 = 0)
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Zeros of f(x) = x^3 - 3x^2 - 15x + 125
Zeros of f(x) = x^3 - 3x^2 - 15x + 125
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x^3 + 6x^2 + 9x Multiplicity 1
x^3 + 6x^2 + 9x Multiplicity 1
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Additional Polynomial Roots x^3 + x^2 - 2 = 0
Additional Polynomial Roots x^3 + x^2 - 2 = 0
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'Seven less than the number t'
'Seven less than the number t'
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Polynomial Simplification (5x - 3x^2 + 16x^2)
Polynomial Simplification (5x - 3x^2 + 16x^2)
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Equation Solving (7y + 5 = 6y + 11)
Equation Solving (7y + 5 = 6y + 11)
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Line Slope Calculation (points (-3, -2) and (1, 6))
Line Slope Calculation (points (-3, -2) and (1, 6))
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Perpendicular Line Equation
Perpendicular Line Equation
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Relation Domain and Range
Relation Domain and Range
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Function Identification (f(x) = -3x + 2, x = 3)
Function Identification (f(x) = -3x + 2, x = 3)
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