Polynomials Review

Classify

100

Is the following a monomial? If yes what is the degree?

12m³n²

yes, degree = 5

200

Is the following a polynomial? If yes what is the degree and how many terms are there? If no, why?

3x^-2 + 5x

No. Polynomials can't have a negative exponent. 

300

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FREE 300 POINTS!!!

400

What is the leading coefficient?

- 3x³ +5x² + 5x - 6

-3

500

Write the following polynomial in standard form.

Classify the polynomials

5x² - 3x³ + 5x -6

- 3x³ +5x² + 5x - 6

Cubic Polynomial

Adding/Subtracting

100

3r²t⁵ + 8r²t⁵

11r²t⁵

200

(5x-9y)+(x+6y)

6x-3y

300

(3m+2n) - (7m + n)

-4m + n

400

Find: (9-6x-3x²) - (-x² +10)

-2x² - 6x - 1

500

What is the perimeter with the following sides x² - 3x,     3x-1, x+2, 3x²-11x?

4x² - 10x + 1

Multiplying

100

Find the product –3f²(-f² -10f + 4)

3f⁴ +30f³ - 12f²​​​​

200

(2r - 7)(r - 1)

2r² - 9r +7

300

Find: (4h² + 6h +1) (2h - 3)

8h³ -16h -3

400

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FREE 400 POINTS!

500

A cardboard box company designs all of its boxes so that they have a length of x², a height of x-2, and a width of 4x+1. Write an expression in standard form for the volume V of one of these boxes. V = lwh

4x⁴ -7x³ -2x²

Random

100

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FREE 100 POINTS!!!

200

What makes a term NOT a monomial?

addition/subtraction

variable in the denominator

variable as an exponent

negative exponent

300

(d +9)²

d² +18d + 81

400

What are like terms?

Terms that have the same variable and variables that have the same exponent.

500

(7u+2t)(7u-2t)

49u²-4t²