8.1
Classifying Polynomials
Classifying Polynomials
Is the following a monomial?
What is the degree?
4x^3
Is the following a monomial?
Yes
What is the degree?
3rd
Multiply the following.
(5x^3)(2x^2)
10x^5
Multiply the following.
(x+3)(x-3)
x^2-9
Write the following in standard form.
What is the degree?
What is the leading coefficient?
What is the constant?
-4x^2y^4z^2+xy^2z^6-7x^3y^4z
Write the following in standard form.
xy^2z^6-4x^2y^4z^2-7x^3y^4z
What is the degree?
9th
What is the leading coefficient?
1
What is the constant?
None
Is the following a monomial?
What is the degree?
-2x^5y^4z^2
Is the following a monomial?
Yes
What is the degree?
11th
Multiply the following.
5x(x^2+3x+2)
5x^3+15x^2+10x
Multiply the following.
(3x+2)(3x-2)
9x^2-4
Multiply the following.
(1/3x^2y)(18x^6y^3)
6x^8y^4
Write the following in standard form.
What is the degree?
What is the leading coefficient?
What is the constant?
3x^3-2y^4+7x+1
Write the following in standard form.
-2y^4+3x^3+7x+1
What is the degree?
4th
What is the leading coefficient?
-2
What is the constant?
1
Multiply the following.
3x^2y(4x^3y^2-xy^3)
12x^5y^3-3x^3y^4
Multiply the following.
(x+4)^2
x^2+8x+16
Multiply the following.
(5x+4)(4x-3)
20x^2+x-12
Write the following in standard form.
What is the degree?
What is the leading coefficient?
What is the constant?
16-4x^5-x^3+9x^4
Write the following in standard form.
-4x^5+9x^4-x^3+16
What is the degree?
5th
What is the leading coefficient?
-4
What is the constant?
16
Multiply the following.
(x+3)(x-15)
x^2-12x-45
Multiply the following.
(2x-3)^2
4x^2-12x+9
Multiply the following.
(x^2+7x-3)(5x^2-5x+5)
5x^4+30x^3-45x^2+50x-15
Write the following in standard form.
What is the degree?
What is the leading coefficient?
What is the constant?
3p^2q^4-6p^3q^5+2q^7
Write the following in standard form.
-6p^3q^5+2q^7+3p^2q^4
What is the degree?
8th
What is the leading coefficient?
-6
What is the constant?
None
Multiply the following.
(-6x^2+7x+2)(x^2-2x+3)
-6x^2+19x^3-30x^2+17x+6
Multiply the following.
(4x-9)^2
16x^2-72x+81
Multiply the following. Write your answer using fractions.
(1/2x^2-7x+3)(2/3x^3+2x^2+3x)
1/3x^5-11/3x^4-21/2x^3-15x^2+9x