Terminology
How many terms are in the polynomial 5x2-3x+9?
3 terms
Factor x2 - 49
(x+7)(x-7)
Factor x2 + 10x + 16
(x+8)(x+2)
Factor 2x2 - 7x - 4
(2x+1)(x-4)
What is the GCF of 30, 54, and 18?
6
When you are asked to factor a polynomial, what is the first thing you should do?
Check for a GCF!
Factor 4y2 - 81
(2y+9)(2y-9)
Factor a2 - 16a + 28
(a-14)(a-2)
Factor 5x2 + 13x + 6
(5x+3)(x+2)
What is the GCF of the polynomial 8x2 + 28x - 20?
4
What is the only type of polynomial with 2 terms (binomial) that you have learned how to factor?
a Difference of Two Squares
Factor 64y8 - 144
(8y4-12)(8y4+12)
Factor y2 + y - 56
(y+8)(y-7)
Factor 3x2 - 17x + 10
(3x-2)(x-5)
Factor 15x4 - 35x3 + 10x2 - 25
5(3x4-7x3+2x2-5)
What is the name of the type of polynomial with 3 terms that I have taught you how to factor?
a Quadratic Trinomial
Factor 25a22 - 16b10
(5a11+4b5)(5a11-4b5)
Factor x2 - 20x + 99
(x-11)(x-9)
Factor 8x2 + 2x - 3
(4x+3)(2x-1)
What is the GCF of 6x2 and 14x?
2x
When you are factoring a quadratic trinomial when a=1, your "lasts" have to meet 2 conditions. What are those conditions?
*use the letters in standard form in your answer:
y=ax2+bx+c
They must add to give the "b"-value and multiply to give the "c" value.
Factor 36x12 - 16y14
4(3x6-2y7)(3x6+2y7)
Factor a2 - 3ab - 18b2
(a-6b)(a+3b)
Factor 6x2 + 11x - 10
(3x-2)(2x+5)
Factor 16y3 - 36y
4y(2y+3)(2y-3)