<h3>
Answer: n = -11</h3>
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Explanation:
Since x-2 is a factor of f(x), this means f(2) = 0.
More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.
So if we plugged x = 2 into f(x), we'd get
f(x) = x^3+x^2+nx+10
f(2) = 2^3+2^2+n(2)+10
f(2) = 8+4+2n+10
f(2) = 2n+22
Set this equal to 0 and solve for n
2n+22 = 0
2n = -22
n = -22/2
n = -11 is the answer
Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10
Plug x = 2 into that updated f(x) function to find....
f(x) = x^3+x^2-11x+10
f(2) = 2^3+2^2-11(2)+10
f(2) = 8+4-22+10
f(2) = 0
Which confirms our answer.
Answer:
Step-by-step explanation:
<u>Volume of the prism:</u>
- V = Bh, where B- area of base, h- height
<u>Given:</u>
<u>Volume is:</u>
Answer: jimmy needs a new job
Step-by-step explanation:
Answer:
u = 156.25
Step-by-step explanation:
Step 1: Write equation
31.25 = u/5
Step 2: Solve for <em>u</em>
- Multiply both sides by 5: 156.25 = u
- Rewrite: u = 156.25
Step 3: Check
<em>Plug in u to verify it's a solution.</em>
31.25 = 156.25/5
31.25 = 31.25
Answer: 15x+12
Step-by-step explanation: This expression is already simplified :( You can reverse the coefficients though! Both will still be equal, but you can’t simplify anymore.
