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# Halp

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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 $g(x)$?

Jan 19, 2021

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Multiplying a polynomial by a (non-zero)  constant does not change its degree

So

degree 8   +   degree  9     =    degree 9

g(x)   = degree 9

Jan 19, 2021
edited by CPhill  Jan 20, 2021