Multiplying Binomials
3x(x+1)
3x2 + 3x
When adding polynomials, you must combine _______ ________.
like terms
3y4 + 6y4
9y4
The number or variable located(here)
exponent
(8x - 5) + (2x - 14)
10x – 19
x2(3x+1)
3x3+x2
When adding polynomials, what happens to to the exponents?
"keep the exponents the same"
-13a3 + 17a3
4a3
A numerical expression, variable, or symbol
polynomial
(9x - 6) – (-5x + 7)
14x – 13
(x+1)(x-3)
x2-2x-3
When adding polynomials, what happens to the coefficients of each term?
combine like terms/add coefficients
4n5 + 6n5 – 11x4
10n5 – 11x4?
A polynomial with only one term
monomial
-x2 + 4x + 2 - 3x2 - 5x + 9
- 4x2 – x + 11
(2x+1)(3x2-4)
6x3+3x2-8x-4
When multiplying polynomials, what happens to the exponents?
add the exponents
12y2 – 4x + 5x
12y2 + x
A polynomial with two terms
binomial
-7x2 + 2x + 2 - 5x2 - 6x - 7
What is - 12x2 - 4x - 5 ?
(3x2+6)(2x+x2)
3x4+ 6x3+ 6x2+ 12x
When multiplying polynomials in a multiplication table, what do you do with partial products?
add up the partial products and combine like terms
–3x2 + 10x2 + 6x2
13x2
A polynomial with 3 terms
trinomial
6xy2 + 3x - 4xy2 - x2 + 7x
What is 2xy2 - x2 + 10x ?