GCF of Monomials
What is the GCF of the monomials
(12x2) and (8x3)
4x2
Factor the polynomial
(2x2 + 8x)
2x(x+4)
Factor (x² + 5x + 6)
(x + 2)(x + 3)
Factor (x² - 9)
(x - 3)(x + 3)
What factoring method should you try first when all terms in a polynomial share a common factor?
factoring out the GCF
Find the GCF of
(15a3b) and (25a2b2)
5a2b
Factor (x2 + 7x + 10)
(x+5)(x+2)
What are the factors of
(x² - 3x - 10)
(x - 5)(x + 2)
What are the factors of
(4x² - 25)
(2x - 5)(2x + 5)
What method would you use to factor the polynomial (x² - 49)?
difference of squares
Determine the GCF of (30m4n2) and (45m2n3)
15m2n2
Factor (3x² - 12)
3(x - 2)(x + 2)
Factor (x² + 4x + 4)
(x + 2)(x + 2)
Factor (49y² - 1)
(7y - 1)(7y + 1)
You are given (2x² + 10x). What factoring method is most efficient?
factoring out the GCF
What is the GCF of
(24x5y2) and (36x2y3)
12x2y2
Factor (5x³ + 15x² - 20x)
5x(x + 4)(x - 1)
Factor (x² - 8x + 15)
(x - 3)(x - 5)
Factor (16a² - 64)
16(a-2)(a+2)
OR (4a-2)(4a+2)
What method should you use to factor (x² + 11x + 24)?
factoring a simple trinomial (creating two binomials)
Calculate the GCF of (50p3q4) and (75p2q2r)
25p2q2
Factor the polynomial
(x⁴ - 16) completely
(x² - 4)(x² + 4)
OR (x - 2)(x + 2)(x² + 4)
Factor (x² + 2x - 35)
(x + 7)(x - 5)
Factor (x⁴ - 16)
(x² - 4)(x² + 4)
How do you determine if a polynomial like (36x² - 100) can be factored using the difference of squares method?
check if both terms are perfect squares and there's a subtraction sign