Factoring
Find the GCF 18y2 + 9y
9y
Simplify: (2a – 5) – (3a + 1)
-a - 6
Find (2n – 3)(n + 4).
2n2 + 5n -12
What does GCF stand for
Greatest Common Factor
The zero product property says that if a times b equals zero... a or b = ?
0
Find the GCF of 6x3y + 3x2 – 9x
3x
Simplify: (4b – 1) + (2b + 6)
6b + 5
Find (3w – 7)(2w + 3).
6w2 - 5w - 21
What is a Monomial, Binomial and Trinomial?
1, 2 and 3 terms
To Factor something of the form: x2 + bx + c, you multiply to what as well as add to what?
Mult. to c, add to b
Factor x2 + 11x + 21
(x+7)(x+3)
Simplify: (4y2 + 3y + 7) + (2y2 – 2y + 4).
6y2 + y + 11
Find (8y2 – 4)(y + 5).
8y3 + 40y2 - 4y - 20
What is "Standard Form" of a Polynomial
Put the answer in descending order based on the exponents
To Factor something of the form: ax2 + bx + c, you multiply to what as well as add to what?
a times c, adds to b
Factor x2 - 17x + 60
(x -12)(x - 5)
Simplify: (9t2 + 4t – 6) + (t2 – 2t + 4).
10t2 + 2t - 2
Find (3y – 4)(2 + y – 1).
3y2 - y - 2
Go backwards, or find the things that make it up. Reverse Mailman.
An example of a Special Product is (3x-2)2. What is special about this?
There is a formula to get you the answer without any of the work, every time!
Factor by Grouping: rn + 5n - r - 5
(r + 5)(n - 1)
Simplify: 3(x2 + 2x) – x(x – 1).
2x2 + 7x
Find (2x2 + 4x – 1)(3x + 7).
6x3 +26x2 + 25x -7
What is grouping?
A form of factoring in which you group terms with common factors
Solve (3x-6)(x+2) = 0
x = 2 or x = -2