Classifying Polynomials
Classify the polynomial by degree and number of terms.
3x+12
Degree: Linear or degree 1
Number of Terms: Binomial
Simplify the polynomial and write your answer in standard form.
(12x-2)+(2x2-6x+4)
2x2+6x+2
Simplify the polynomial and write your answer in standard form.
(x+1)(x-3)
x2-2x-3
Factor the polynomial.
21x4-9x2
3x2(7x2 - 3)
Solve the equation:
x(x + 7) = 0
x = 0 & x = -7
Classify the polynomial by degree and number of terms.
24
Degree: Constant or degree 0
Number of Terms: Monomial
Simplify the polynomial and write your answer in standard form.
(2x2+3x+2)+(3x2-7x-12)
5x2-4x-10
Simplify the polynomial and write your answer in standard form.
(2x+3)2
4x2 + 12x + 9
5n6 + 2n5
n5(5n + 2)
(x - 9)(x + 3) = 0
x = 9 & x = -3
Classify the polynomial by degree and number of terms.
-7x2+4x+1
Degree: Quadratic or degree 2
Number of Terms: Trinomial
Simplify the polynomial and write your answer in standard form.
(7x+x4+10)-(9+7x-x4)
2x4+1
Simplify the polynomial and write your answer in standard form.
(9x-1)(7x2+3x+4)
63x3 + 20x2 + 33x - 4
Factor the binomial.
12x2 + 8x
4x(3x + 2)
Solve the equation:
4x2 - x = 0
x(4x-1) = 0
x = 0 & x = 1/4
Classify the polynomial by degree and number of terms.
12x4
Degree: Quartic or degree 4
Number of Terms: Monomial
Simplify the polynomial and write your answer in standard form.
(2x2+3x+2)-(x2-4x-1)
x2+7x+3
Simplify the polynomial and write your answer in standard form.
(2x+7)2
4x2+28x+49
Factor the binomial:
12x2y + 4xy2
4xy(3x + y)
Solve the equation:
18x - 2x2 = 0
2x(9 - x) = 0
x = 0 & x = 9
Classify the polynomial by degree and number of terms.
3x4-x3+5x2+x-7
Degree: Quartic or degree 4
Number of Terms: 5
Simplify the polynomial and write your answer in standard form.
(7x3+2x2-x-4)-(-4x3-3x2+8)
11x3+5x2-x-12
Simplify the polynomial and write your answer in standard form.
(x-6)(4x2+x-7)
4x3-23x2-13x+42
Factor the binomial:
9a2b3c - 81abc2
9abc(ab2 - 9c)
Solve the equation:
-28x = 4x2
0 = 4x2 + 28x
0 = 4x(x + 7)
x = 0 & x = -7