Vocabulary
A ______ is a number, a variable, or a product of numbers and variables with whole number exponents.
monomial
Find the degree of the monomial:
-2a2b4
The degree is 6.
(Add the exponents 2+4=6)
Write the polynomial in standard form (from greatest to least):
16-4x2+x5+9x3
x5+9x3-4x2+16
Add:
15m3+6m2+2m3
17m3+6m2
Find the product:
2(6x+3)
12x+6
What is the sum of the exponents of the variables?
Degree of a monomial
Find the degree of the monomial:
10a
The degree is 1.
(A variable written without an exponent has exponent 1.)
Write the polynomial in standard form (from greatest to least):
3c2+5c4+5c3-4
5c4+5c3+3c2-4
Subtract:
(t3+8t2)-(3t3)
-2t3+8t2
Find the product:
(8b+3)(7b-5)
56b2-19b-15
A ______ is a monomial or a sum or difference of monomials.
polynomial
Find the degree of the monomial:
21
The degree is 0.
(There is no variable.)
Write the polynomial in standard form (from greatest to least):
9a8-8a9
-8a9+9a8
Add:
(5n3+3n+6)+(18n3+9)
23n3+3n+15
Find the product:
(6x+3y)(6x2-7xy+4y2)
36x3-24x2y+3xy2+12y3
What is the degree of the term of the polynomial with the greatest degree?
Degree of a polynomial
Find the degree of the polynomial:
8x-16x7
The degree is 7.
(The degree of the polynomial is the greatest degree.)
Write the polynomial in standard form (from greatest to least):
4x2-x5-x3+1
-x5-x3+4x2+1
Add:
(-2x3+x+2x3+x)+(3x3-5x2)
3x3-5x2+2x
Multiply the polynomials:
(7x2+8xy-6y2)(6x2+4xy+3y2)
42x4+76x3y+17x2y2-18y4
The _______ ____ of a polynomial that contains one variable is written with the terms in order from greatest degree to least degree.
standard form
Find the degree of the polynomial:
25x3+50x3-5x-10
The degree is 3.
(The degree of the polynomial is the greatest degree.)
Write the polynomial in standard form (from greatest to least):
5.5a+10a2-2a6-55a3+10a4-100
-2a6+10a4-55a3+10a2+5.5a-100
Subtract:
(-7h2-4h+7)-(7h2-4h+11)
-14h2-4
Find the product:
3(2x+3)(6x+9)
36x2+108x+81