We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

\(\text{We have that $3 \cdot f(x) + 4 \cdot g(x) = h(x)$ where $f(x),$ $g(x),$ and $h(x)$ are all polynomials in $x.$ If the degree of $f(x)$ is $8$ and the degree of $h(x)$ is $9$, then what is the minimum possible degree of $g(x)$? }\)


Thanks! smiley

 Jul 18, 2019

Sorry, I am not very experienced in this topic, my answer may be wrong.


Let's pretend that f(x) is  x8. Since f(x) has a degree of 8.


Let's also pretend that h(x) is 3x8 + 4 * g(x). Where it has a degree of 9.


Now, it should be obvious with the deduction that g(x) must also have a degree of 9 to make the h(x) have a degree of 9.


So the minimum possible degree of g(x) should be 9 ??????????




It is 3x8 because in the problem it states: 3 * f(x)

 Jul 19, 2019

16 Online Users