+730 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
+953 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 \(\left(\:-x^2+\:8x\:-\:5\right)\left(\:x^3\:-\:11x^2\:+\:2x\right)\).
In the end, we get
\(-x^5+19x^4-95x^3+71x^2-10x\)
The leading term is the term that is first, which is ofcourse, \(-x^5\)
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! :)
+953 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 \(\left(\:-x^2+\:8x\:-\:5\right)\left(\:x^3\:-\:11x^2\:+\:2x\right)\).
In the end, we get
\(-x^5+19x^4-95x^3+71x^2-10x\)
The leading term is the term that is first, which is ofcourse, \(-x^5\)
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! :)
