Classify the polynomial by degree and number of terms:
5x2 + 7
quadratic binomial
Add the polynomials:
(14x + 5) + (10x + 5)
24x + 10
Multiply.
5(2x+3)
10x+15
Factor out the GCF.
3x+6
3(x+2)
Find the GCF.
2x+4
2
Classify the polynomial by degree and number of terms:
x4 + 5x2 + 9
quartic trinomial
Add the polynomials:
(9x2 + 12x + 12) + (7x2 - 10x + 13)
16x2 + 2x + 25
Multiply.
2x(3x+4)
6x2+8x
Factor out the GCF
2x4+6x3+14x
2x(x3+3x2+7)
Find the GCF.
9x2+3x
3x
Classify the polynomial by degree and number of terms:
6x3
cubic monomial
Subtract the polynomials:
(6x + 14) - (9x + 5)
-3x + 9
Multiply.
7x2(5x4)
35x6
Factor the trinomial.
x2+6x+8
(x+2)(x+4)
Find the GCF
x2+3x
x
Classify the polynomial by degree and number of terms:
8x + 11
linear binomial
Add the polynomials:
(5x6 + 9x3 - 6x) + (-9x6 - 20x2 + 6x)
-4x6 + 9x3 - 20x2
Multiply.
(x+2)(x-3)
x2-x-6
Factor the trinomial.
x2-9x+18
(x-3)(x-6)
Find the GCF.
4x2+12x+8
4
Classify the polynomial by degree and number of terms:
3x5 + 3x3 + 9x + 8
quintic quadranomial
Subtract the polynomials
(-18x2 + 4x - 16) - (15x2 + 4x - 13)
-33x2 - 3
Multiply.
(3x+4)(x-6)
3x2-14x-24
Factor the trinomial.
x2-4x-21
(x+3)(x-7)
Find the GCF.
4x3+6x2+8x
2x