GENERAL MATH: EQUATIONS | Mathematics | Page 1

sour roost Jan 14, 2026, 2:07 PM

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prisma escarpBOT Jan 14, 2026, 2:07 PM

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upper coral Jan 14, 2026, 5:47 PM

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Write down the terms in $f(x)$ and $g(x)$ which have a $x^3$ term on expanding, these are the $(x+1)^3$ and $(x+1)^4$ terms, do the same for $g(x)$ subtract them you get $(x+1)^3(a_3 - b_3)$ expanding we see that the coefficient of $x^3$ is $a_3 -b_3$.

terse needleBOT Jan 14, 2026, 5:48 PM

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desshshsi

feral grail Jan 14, 2026, 5:50 PM

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its actually a_3 - b_3 - 4

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@sour roost os the answer (-4)

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thats a good question

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first find the polynomial f(x) - g(x) :

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it would be a polynomial of 3 degree

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since its given then f(x) - g(x) is not zero for all x's

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the coeffiecient of x^3 in it must be zero since odd degree polynomials have their range as real

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and the coefficient of x^3 is a_3 - b_3 in it

#GENERAL MATH: EQUATIONS