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!

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length