Which of the binomials below is a factor of this trinomial? x2 – 4x – 12 a. x – 6 b. x – 4 c. x – 2 d. x – 3

To factor, we must first figure out what two numbers have a sum of -4 and a product of -12. The answer to this is -6 and 2; therefore, we know we must use these numbers in our two factors. This method is shown below:

x^2 - 4x - 12

(x - 6) (x + 2)

To check our work, we can multiply the two factors we have found together and make sure that they recreate our original expression. (x-6)(x+2) = x^2 - 4x - 12, so our answer is correct.

Hope this helps!

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1