Classifying Polynomials
Determine the degree of the following polynomial:
−3x2+5x−1
Degree: 2
Add the following polynomials. Write your final answer in standard form.
(4x2+4)+(19x2−7)
23x2−3
Multiply the polynomials. Write your final answer in standard form.
−3x(2x2+4)
−6x3−12x
Factor the polynomial.
x2+6x+8
(x+2)(x+4)
Factor completely
2x2+4x
2x(x+2)
Is the following polynomial a monomial, binomial, or trinomial?
2xy−3x2y
Binomial
Add the following polynomials. Write your final answer in standard form.
(13x2−2x+1)+(9x2−7)
22x2−2x−6
Multiply the polynomials. Write your final answer in standard form.
(9x+1)(6x+2)
54x2+24x+2
Factor the polynomial.
x2-10x+21
(x-3)(x-7)
Factor completely
3x4+12x3-21
3(x4+4x3-7)
Classify the polynomial by its degree and the number of terms:
−4x4+3x2−x
4th degree Trinomial
Add the following polynomials. Write your final answer in standard form.
(−x3+8x2−5)+(10x3−x3+1)
9x3+7x2−4
Multiply the polynomials. Write your final answer in standard form.
(4x−1)2
16x2−8x+1
Factor the polynomial.
x2-7x-60
(x-12)(x+5)
Factor completely
9x2-81x-90
9(x-10)(x+1)
Classify the polynomial by its degree and the number of terms:
3x2−x
2nd Degree Binomial
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)−(11x−6)
−8x+8
Multiply the polynomials. Write your final answer in standard form.
(7x+4)(7x−4)
49x2−16
Factor the polynomial.
x2+17x-70
(x-5)(x+22)
Factor completely
4x7+28x6+48x5
4x5(x+3)(x+4)
What is the degree and leading coefficient of the polynomial?
-5x3+2x+4-x7
7th degree leading coefficient is -1
Subtract the following polynomials. Write your final answer in standard form.
(x2−x+4)−(x2+x−2)
−2x+6
Multiply the polynomials. Write your final answer in standard form.
(2x−5)(3x2−x+6)
6x3−17x2+17x−30
Factor the polynomial.
2x2+3x+1
(2x+1)(x+1)
Factor completely
3x4-27x2
3x2(x-3)(x+3)