Answer:
3
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
3(x-5)=9
3x-15=9
3x-15+15=9+15
3x=24
x=8
We can tell if this is a factor of the polynomial shown by using the remainder theorem.
First, we need to set x + 1 equal to 0.
x + 1 = 0
Now, we solve for x.
x = -1
Now, we can plug this value into the polynomial, and if the solution is 0, it means there is a remainder of 0, which means they divide perfectly.
(-1)^3 - 10(-1)^2 + 27(-1) - 12 = -50
x + 1 is not a factor of the provided polynomial.
Answer:
y = -1/8 x² + 5
Step-by-step explanation:
Parabola opens vertically and vertex (h,k) = (0,5), pass point (4,3)
basic formula: y = a(x - h)² + k
y = a (x-0)² + 5
y = ax² + 5 pass (4,3)
3 = 16a + 5
a = (3-5)/16 = -1/8
equation: y = -1/8 x² + 5
check: pass another point (-4,3)
-1/8 * (-4)² + 5 = -2 + 5 = 3
