A counter example is
f(x)=5x^5+2x^3+3x
g(x)=-5x^5-x^4+x^2-4
Then f(x)+g(x) = -x^4+2x^3+x^2+3x-4 which is a polynomial of degree 4.
So the answer is no. Counter-example is given above.
Answer:
Does the answer help you?
Answer:
a = -1/2
b = 2
Step-by-step explanation:
Step 1: Rewrite 1st equation
-b = -5 - 6a
b = 5 + 6a
Step 2: Substitution
4a - 3(5 + 6a) = -8
Step 3: Solve
4a - 15 - 18a = -8
-14a - 15 = -8
-14a = 7
a = -1/2
Step 4: Plug in <em>a</em> to find <em>b</em>
6(-1/2) - b = -5
-3 - b = -5
-b = -2
b = 2
-3
Because -2^2-8+1
-2to the second power is 4
4-8=-4
-4+1=-3
(-2,7) because of the circle equation.
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