Answer:
<h2>k = - 58</h2>
Step-by-step explanation:
Since (x + 8) and (3x + 2) are factors of the polynomial it means that if either one of them is equated to zero and substituted into the polynomial will give us zero
Using x + 8
We have
x + 8 = 0
x = - 8
Substitute the value of x into the polynomial
- 6x³ - 55x² + kx - 16
That's
- 6(-8)³ - 55(-8)² + k(-8) - 16 = 0
-6(-512) - 55(64) - 8k - 16 = 0
Expand
3072 - 3520 - 8k - 16 = 0
Simplify
- 464 - 8k = 0
8k = -464
Divide both sides by 8
k = - 58
Hope this helps you
Play this game to review Mathematics. The
able shows school enrollment for Bayview
Middle School. Find the rate of change fro...
lissing: Eldridge tracked 7648
Hhh CBC v CBC chi V go go cook go chk chk
5000 meters in 5 kilometers I'm pretty sure
Answer:
not factorable
Step-by-step explanation:
![x^{2} - 9x +10\\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%20-%209x%20%2B10%5C%5C)
The easiest way to factor is to find two numbers of the "a" value (the coefficient before
) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:
1 -10 --> 1(-10) gives you -10
1 -1 --> 1(-1) gives you -1
adding these together -10 + (-1) = -11 which does not equal -9.
You could stop here and conclude that this is not factorable by inspection.
Another method: using the quadratic formula to find its roots.
Roots:
and ![(\frac{9+\sqrt{41}}{2}, 0)](https://tex.z-dn.net/?f=%28%5Cfrac%7B9%2B%5Csqrt%7B41%7D%7D%7B2%7D%2C%200%29)