Polynomial Expressions Quiz: Unit 5 Review

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18 Questions

Which expression is a binomial?

𝑥𝑥 2

What is the degree of the polynomial 5𝑥𝑥 + 4𝑥𝑥 2 + 3𝑥𝑥 3 − 5𝑥𝑥?

4

What is the number of terms in the polynomial (2𝑎𝑎 − 5)(𝑎𝑎2 − 1)?

4

Simplify (9𝑥𝑥 3 − 4𝑥𝑥 + 2) − (𝑥𝑥 3 + 3𝑥𝑥 2 + 1). Then name the polynomial by degree.

-8𝑥𝑥 3 + 3𝑥𝑥 2 - 1

What are the zeros of the polynomial function 𝑦 = (𝑥 − 3)(2𝑥 + 1)(𝑥 − 1)?

-1, 1, and 3

What is the factored form of 2𝑥𝑥 3 + 5𝑥𝑥 2 − 12𝑥?

x(𝑥 - 4)(2x + 3)

How many terms are there in the simplified form of $x^4 - 2x^3 - 23x^2 - 12x + 36$?

6

What is a rational root of the equation $x^3 + 3x^2 - 6x - 8 = 0$?

-1

What are the zeros of the function $f(x) = x^3 - 3x^2 - 15x + 125$?

-5, 5, 25

Which number is a zero of $f(x) = x^3 + 6x^2 + 9x$ with multiplicity 1?

1

One root of the equation $x^3 + x^2 - 2 = 0$ is 1. What are the other two roots?

1 ± 2i

Write an algebraic expression that models 'Seven less than the number t'.

$t - 7$

Simplify: $5x - 3x^2 + 16x^2$

$13x - 3x^2$

Solve the equation: $7y + 5 = 6y + 11$.

$y = -6$

Find the slope of the line through the points (-3, -2) and (1, 6).

$\frac{8}{4}$

Write the equation of the line through the point (7,1) and perpendicular to $y = -x + 3$. Use slope-intercept form.

$y = x - 8$

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.

Domain: {1,2,3,4,5}, Range: {-1,0,3,5,6}, Function: No

Determine whether the relation $f(x) = -3x + 2$, where $x = 3$, is a function or not.

Function: Yes

Test your knowledge of polynomial expressions with this quiz, covering topics such as binomials, end behavior, degree, and standard form. Solve the problems and select the correct expressions to demonstrate your understanding.

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