Solve the equation functionf(x=(-11x+6+-7x^4+6x^5)(9x-7+12x^2+3x^3))

f\left(x\right)=\left(6x^5-7x^4-11x+6\right)\left(3x^3+12x^2+9x-7\right)

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Answer

$f\left(x=8316x^{8}-99x^2\left(-7986x^{3}-7986x^{8}+14641x^{4}\right)\left(2187x^{6}-5103x^{3}+6561x^{4}\right)+78408x^{10}+18711x^{10}+78408x^{5}-143748x^{6}-43659x^{7}+56133x^{8}\right)$

Step by step solution

Problem

$f\left(x\right)=\left(6x^5-7x^4-11x+6\right)\left(3x^3+12x^2+9x-7\right)$
1

Multiplying polynomials $9x$ and $9x+3x^3$

$f\left(x=8316x^{8}+693\left(3x^3-7+9x\right)x^{6}-99\left(-66x^{6}-66x+121x^2\right)\left(-63x+27x^{4}+81x^2\right)x^2+78408x^{10}+x^{5}\left(78408-143748x\right)\right)$
2

Multiplying polynomials $6237xx^{6}$ and $9x+-7$

$f\left(x=8316x^{8}-99x^2\left(-7986x^{3}-7986x^{8}+14641x^{4}\right)\left(2187x^{6}-5103x^{3}+6561x^{4}\right)+78408x^{10}+18711x^{10}+78408x^{5}-143748x^{6}-43659x^{7}+56133x^{8}\right)$

Answer

$f\left(x=8316x^{8}-99x^2\left(-7986x^{3}-7986x^{8}+14641x^{4}\right)\left(2187x^{6}-5103x^{3}+6561x^{4}\right)+78408x^{10}+18711x^{10}+78408x^{5}-143748x^{6}-43659x^{7}+56133x^{8}\right)$

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Problem Analysis

Main topic:

Polynomials

Time to solve it:

0.59 seconds

Views:

125