Answer:
2(x - 3)(3x + 2)
Step-by-step explanation:
Given
6x² - 14x - 12 ← factor out 2 from each term
= 2(3x² - 7x - 6) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 6 = - 18 and sum = - 7
The factors are - 9 and + 2
Use these factors to split the x- term
3x² - 9x + 2x - 6 ( factor the first/second and third/fourth terms )
= 3x(x - 3) + 2(x - 3) ← factor out (x - 3) from each term
= (x - 3)(3x + 2)
Thus
3x² - 7x - 6 = (x - 3)(3x + 2) and
6x² - 14x - 12 = 2(x - 3)(3x + 2) ← in factored form
Answer: 4
Step-by-step explanation:
-6x = -24 divide both sides by -6 to isolate x
x = -24/-6
x = 4
Checking my work (plug in 4 for x and solve)
-6x = -24
-6(4) = -24
-24 = -24 it's correct!
Answer:
I can't see them but whichever one is 157 is the correct angle
Step-by-step explanation:
Supplementary angles are angles that equal 180 degrees.
180 - 33 = 157
So whichever angle equals 157 degrees, that is the correct one
Answer:
x^2 - 10x + 25
Step-by-step explanation:
(x - 5)^2
(x - 5)(x - 5)
x^2 - 5x - 5x +25
x^2 - 10x + 25
Hope this helps!