Factoring Review
Factor completely:
5x^2 + 35x
5x(x+7)
Determine the degree of the following polynomial:
-3x^2+5x-1
Degree: 2
(Quadratic)
Add the following polynomials. Write your final answer in standard form.
(4x^2+4)+(19x^2-7)
23x^2-3
Multiply the polynomials. Write your final answer in standard form.
-3x(2x^2+4)
-6x^3-12x
Factor completely:
x^2 + 7x - 30
(x+10)(x-3)
Is the following polynomial a monomial, binomial, or trinomial?
2xy-3x^2y
Binomial
Add the following polynomials. Write your final answer in standard form.
(13x^2-2x+1)+(9x^2-7)
22x^2-2x-6
Multiply. Write your final answer in standard form.
(4x-1)2
16x2 -8x+1
Factor completely:
4x^2 - 81
(2x+9)(2x-9)
Classify the polynomial by its degree and the number of terms:
-4x^4+3x^2-x
Quartic Trinomial
Add the following polynomials. Write your final answer in standard form.
(-x^3+8x^2-5)+(10x^3-x^2+1)
9x^3+7x^2-4
Multiply the polynomials. Write your final answer in standard form.
(2x-5)(3x^2-x+6)
6x^3-17x^2+17x-30
Factor completely:
25x^2 - 30x + 9
(5x-3)^2
Classify the polynomial by its degree and the number of terms:
3x^2-x
Quadratic Binomial
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)-(11x-6)
-8x+8
Divide using synthetic division. Write your final answer in standard form.
(x^3-2x^2-4)/(x-3)
x^2+x+3+5/(x-3)
Factor completely:
9x^2 + 15x + 6
3(3x+2)(x+1)
Classify the polynomial by its degree and the number of terms:
-2xy^2+4xy-3y^2+1
Cubic Polynomial
Subtract the following polynomials. Write your final answer in standard form.
(x^2-x+4)-(x^2+x-2)
-2x+6
Use LONG DIVISION to divide the polynomials. Write your final answer in standard form.
(4x^3+18x^2+10x+3)/(2x+1)
2x^2+8x+1+2/(2x+1)