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
Answer:
x= 0.4
Step-by-step explanation:
We need to solve and find the value of x
7 1/3x = 1.6 ÷ 6/11
Converting mixed fraction into improper fraction
22/3 x = 1.6 ÷ 6/11
Converting ÷ sign by X and reciprocating the term
22/3 x = 1.6 * 11/6
Now divide both sides by 3/22
x = 1.6 * 11/6 * 3/22
x = 1.6 * 1/2 * 1/2
x = 1.6/4
x = 0.4
S0, x= 0.4
The completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
<h3>What is polynomial?</h3>
Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).
The polynomial equation given in the problem is,
Let the factor form of the polynomial is f(p). Thus,
Using the formula of difference of squares, we get,
Thus, the completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
Learn more about polynomial here;
brainly.com/question/24380382
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y = - 1/4 x + 1
Step-by-step explanation:
Find two convenient integer coordinates like -4,2 and 4, 0
use these points to calculate the slope to be -1/4
intercept is b = 1
y = -1/4 x + 1