Combining the like-terms, the result of the addition of polynomials f(x) and g(x) is given by:
<h3>How do we add polynomials?</h3>
We add polynomials combining the like-terms, that is, adding terms with the same exponent.
In this problem, the polynomials are:
Combining the like terms, the addition is given by:
More can be learned about addition of polynomials at brainly.com/question/9438778
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For x^3-11x^2+33x+45 , we can make it an equation so <span>x^3-11x^2+33x+45=0. Next, we can find out if -1 or -3 is a factor. If -1 is a factor, than (x+1) is factorable. Using synthetic division, we get
x^2-12x+45
___ ________________________
x+1 | x^3-11x^2+33x+45
- (x^3+x^2)
_________________________
-12x^2+33x+45
- (-12x^2-12x)
______________
45x+45
-(45x+45)
___________
0
Since that works, it's either B or D. We just have to figure out when
</span> x^2-12x+45 equals 0, since there are 3 roots and we already found one. Using the quadratic formula, we end up getting (12+-sqrt(144-180))/2=
(12+-sqrt (-36))/2. Since sqrt(-36) is 6i, and 6i/2=3i, it's pretty clear that B is our answer
It would be 8 because 8+4=12
Hope this helps .. sorry if it’s wrong .
What were your given answer choices
