Classify
Is the following a monomial? If yes what is the degree?
12m3n2
yes, degree = 5
3r2t5 + 8r2t5
11r2t5
Find the product –3f2(-f² -10f + 4)
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3x-2 + 5x
No. Polynomials can't have a negative exponent.
(5x-9y)+(x+6y)
6x-3y
(2r - 7)(r - 1)
What makes a term NOT a monomial?
addition/subtraction
variable in the denominator
variable as an exponent
negative exponent
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(3m+2n) - (7m + n)
-4m + n
Find: (4h2 + 6h +1) (2h - 3)
8h3 -16h -3
(d +9)2
d2 +18d + 81
What is the leading coefficient?
- 3x3 +5x2 + 5x - 6
-3
Find: (9-6x-3x2) - (-x2 +10)
-2x2 - 6x - 1
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What are like terms?
Terms that have the same variable and variables that have the same exponent.
Write the following polynomial in standard form.
Classify the polynomials
5x2 - 3x3 + 5x -6
- 3x3 +5x2 + 5x - 6
Cubic Polynomial
What is the perimeter with the following sides x2 - 3x, 3x-1, x+2, 3x2-11x?
4x2 - 10x + 1
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
(7u+2t)(7u-2t)
49u2-4t2