Naming Polynomials
Adding and Subtracting Polynomials
Polynomial Products
Factoring
Factor by Grouping
100
Is 2x-1 a monomial?
No, monomials cannot have negative exponents.
100
(5a2 - 3) + (8a2 - 1)
13a2 - 4
100
x(2x2 - 3x + 9)
2x3 - 3x2 + 9x
100
x2 - 5x + 4
(x - 4) (x - 1)
100
x(x - 8) + (x - 8)
(x + 1) (x - 8)
200
How many terms are in the polynomial 5x3 + 2x2 - 8x + 4
4 terms
200
(h2 + 4h - 4) + (5h2 - 8h + 2)
6h2 - 4h - 2
200
(x+2)(x-3)
x2 - x - 6
200
n2 + 6n + 8
(n + 2)(n + 4)
200
6z (z - 4) - 7 (z - 4)
(6z - 7) (z - 4)
300
What do you call a polynomial with 2 terms?
A binomial has 2 terms.
300
(6c2 + 3c + 9) - (3c - 5)
6c2 + 14
300
-a5(-9a2 + 5a + 13)
9a7 - 5a6 - 13a5
300
x2 - 14x - 51
(x - 17) (x + 3)
300
12 (z - 1) - 5z2 (1 - z)
(z - 1) (12 + 5z2)
400
What is the degree of the trinomial y3 + 8
It is a 3rd degree trinomial because y is to the 3rd power.
400
(9b3 - 13b2 + b) + (13b2 - 5b + 14)
9b3 - 4b + 14
400
(4b - 3) (b - 7)
4b2 - 31b + 21
400
(x2 - 81)
(x + 9) (x - 9)
400
a3 + 13a2 - 5a - 65
(a + 13)(a2 - 5)
500
Is 42x a monomial?
No, monomials cannot have a variable exponent.
500
(4d - 6d3 + 3d2) - (9d3 + 7d - 2)
-15d3 + 3d2 - 3d + 2
500
(-r + 7)(2r2 - r - 9)
-2r3 + 15r2 + 2r - 63
500
c2 + 13 cd + 36d2
(c + 9d) (c + 4d)
500
5n2 + 19n + 12
(5n + 4)(n + 3)
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