7-2: Multiplying Polynomials
What are the two methods we can use to help us multiply polynomials?
FOIL and Box Methods
What is a coefficient?
Number in front of the variable.
Distribute the negative sign to the second polynomial.
What is the first step in subtracting polynomials?
What is the leading coefficient?
5x^5 + 4x^3 + 2x + 4
5
What is the first step in factoring x^2 + bx + c?
Find all of the possible factors of c.
What does GCF stand for?
Greatest Common Factor
Solve: (8x + 9) + (4x - 6)
12x +3
Factor out the GCF from the polynomial below
18x^2 - 6x
6x
Find the GCF of the following polynomial
24x^3 + 16x^2 + 8x
8x
Using the product of a sum and difference formula, solve
(x-9)(x+9)
x^2 - 81
How many terms are in a 5th degree binomial?
2
Solve: (8x^2 + 3x) - (4x^2 - 2x)
4x^2 + 5x
-4y^2 + 6y^2 - 14y
2y
What is the polynomial below in factored form?
x^2 + 6x + 9
(x+3)^2
Using the square of a binomial formula, What is the product (𝟱𝙭−𝟯)^2?
25x^2 - 30x + 9
Give me an example of a quadratic trinomial
Answers may vary.
Solve: (9x^3 + 8x^2 - 8x + 15) + (7x^2 + 3x - 14)
9x^3 + 15x^2 - 5x + 1
What is the factored form of
18x^3y^2 + 12x^2y + 15x
3x(6x^2y^2 + 4xy + 5)
In x^2 + bx + c, if c is negative, then the factors have __________
opposite signs
(3x^3 + 2x^2 + 5x) (9x +8)
27x^4 + 42x^3 + 71x^2 + 40x
How do you find the degree of polynomial?
You find the degree of each individual term within the polynomial and select the largest degree.
(9x^2 + 5x - 15) - (12x^2 + 4x - 8)
-3x^2 + x - 7
Factor out the GCF and put your answer in factored form
21a^3b^7 + 7ab^5 - 35ab^9
7ab^5(3a^2b^2 + 1 - 5b^4)
What is the factored form of 3x^3 + 15x ^2 - 18x
3x(x-1)(x+6)