Factor the following
2x^2-8x-24
2(x-6)(x+2)
Factor the following
x^2-9x-36
(x-12)(x+3)
Are the set of odd numbers closed under addition? Why or why not?
No, you can add two odds and still get an even
Ex) 3+7=10
Solve for the missing side of the triangle
x=3.6
Factor the following. Name the special pattern if applicable.
12x^2+36x
12x(x+3)
Factor the following. Name the special pattern if applicable.
20x^2-125
5(2x+5)(2x-5)
Are the set of even numbers closed under multiplication? Why or why not?
Yes, they already have factors of two in what you're multiplying so product has to also be even.
Solve for the missing angle
theta=18
Factor the following. Name the special pattern if applicable.
2x^4+24x^3+72x^2
2x^2(x+6)^2
Factor the following
12x^3+32x-9x^2-24
(4x-3)(3x^2+8)
Is the set of composite numbers closed under division? Why or why not?
No, if you divide a composite number by itself, you will get one which is not composite.
5/6
Factor the following
3x^3-3xy-5y+5x^2
(x^2-y)(3x+5)
Factor the following
5x^2+17x-40
(5x-8)(x+5)
Are the set of prime numbers closed under multiplication? Explain why or why not.
No. Definition of a prime number is to only be able to be multiplied by one and itself.
What is the probability of rolling a number greater than two on a dice (numbered 1-6) or landing on tails when flipping a fair coin?
5/6