+1520 Determine all of the following for $f(x) \cdot g(x)$, where $f(x) = -x^2+ 8x - 5$ and $g(x) = x^3 - 11x^2 + 2x$.
Leading term
Leading coefficient
Degree
Constant term
Coefficient of x^2
+1952 First, let's multiply g(x) by f(x). I won't show all the steps cuz I'm a bit lazy....
But make sure use the Distributive property to expand (−x2+8x−5)(x3−11x2+2x).
In the end, we get
−x5+19x4−95x3+71x2−10x
The leading term is the term that is first, which is ofcourse, −x5
The leading coefficient is the coefficient of the leading term, which is −1
The degree is the highest raised power, which is 5
The constant term is the term with no x values, which there is none in this case, so 0
The coefficient of x^2 is clearly 71
I hope I answered all of your questions!
Thanks! :)
+1952 First, let's multiply g(x) by f(x). I won't show all the steps cuz I'm a bit lazy....
But make sure use the Distributive property to expand (−x2+8x−5)(x3−11x2+2x).
In the end, we get
−x5+19x4−95x3+71x2−10x
The leading term is the term that is first, which is ofcourse, −x5
The leading coefficient is the coefficient of the leading term, which is −1
The degree is the highest raised power, which is 5
The constant term is the term with no x values, which there is none in this case, so 0
The coefficient of x^2 is clearly 71
I hope I answered all of your questions!
Thanks! :)
