Answer:
x= 20 x =-5
Step-by-step explanation:
x^2 – 15x – 100 = 0.
What two numbers multiply to -100 and add to -15
-20 * 5 = -100
-20 +5 = -15
(x-20) (x+5) =0
Using the zero product property
x-20 =0 x+5 = 0
x= 20 x =-5
D and F are not equivalent to ax+bx+ac+bc+
Answer:
B
Step-by-step explanation:
- 2 | 2 2 - 2 4
↓ - 4 4 - 4
--------------------------
2 - 2 2 0 ← remainder
Since the remainder = 0 then (x + 2) is a factor
quotient = 2x² - 2x + 2
Answer:
56
Step-by-step explanation:
Insert x + 3 instead of x into the equation of the function f(x):
f(x) = 3 - 6x²
f(x + 3) = 3 - 6(x + 3)²
use (a + b)² = a² + 2ab + b²
= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)
use distributive property
= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54
combine like terms
= -6x² - 36x - 51
<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
