Simplify. (-(1057)/(10)+(1283 i)/(10))x^(3)+((273)/(10)-(121 i)/(10))x^(2)+((971)/(10)+(281 i)/(5))x+(87 i)/(5)-(736)/(5)

Given Polynomial Expression: We are given a complex polynomial expression: {:[(-(1057)/(10)+(1283 i)/(10))x^(3)+((273)/(10)-(121 i)/(10))x^(2)],[+((971)/(10)+(281 i)/(5))x+(87 i)/(5)-(736)/(5)]:} First, we will simplify the coefficients of each term by performing the arithmetic operations.Simplify x^3 Term: Simplify the coefficient of the x^3 term: (-1057/10) + (1283i/10) = -105.7 + 128.3iSimplify x^2 Term: Simplify the coefficient of the x^2 term: (273/10) - (121i/10) = 27.3 - 12.1iSimplify x Term: Simplify the coefficient of the x term: (971/10) + (281i/5) = 97.1 + 56.2iSimplify Constant Term: Simplify the constant term: (87i/5) - (736/5) = 17.4i - 147.2Rewrite Polynomial: Now, we rewrite the polynomial with the simplified coefficients: (-105.7 + 128.3i)x^3 + (27.3 - 12.1i)x^2 + (97.1 + 56.2i)x + (17.4i - 147.2)

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Simplify.
(-(1057)/(10)+(1283 i)/(10))x^(3)+((273)/(10)-(121 i)/(10))x^(2)+((971)/(10)+(281 i)/(5))x+(87 i)/(5)-(736)/(5)

Simplify. $\newline$ $(-\frac{1057}{10}+\frac{1283 i}{10}) x^{3} + (\frac{273}{10}-\frac{121 i}{10}) x^{2} + (\frac{971}{10}+\frac{281 i}{5}) x + \frac{87 i}{5}-\frac{736}{5}$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Simplify.

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(-\frac{1057}{10}+\frac{1283 i}{10}) x^{3} + (\frac{273}{10}-\frac{121 i}{10}) x^{2} + (\frac{971}{10}+\frac{281 i}{5}) x + \frac{87 i}{5}-\frac{736}{5}

Given Polynomial Expression: We are given a complex polynomial expression: ${:[\left(-\frac{1057}{10}+\frac{1283 i}{10}\right)x^{3}+\left(\frac{273}{10}-\frac{121 i}{10}\right)x^{2}],[+\left(\frac{971}{10}+\frac{281 i}{5}\right)x+\frac{87 i}{5}-\frac{736}{5}]:}$ First, we will simplify the coefficients of each term by performing the arithmetic operations.
Simplify $x^3$ Term: Simplify the coefficient of the $x^3$ term: $(-1057/10) + (1283i/10) = -105.7 + 128.3i$
Simplify $x^2$ Term: Simplify the coefficient of the $x^2$ term: $\frac{273}{10}$ - $\frac{121i}{10}$ = $27.3$ - $12.1i$
Simplify $x$ Term: Simplify the coefficient of the $x$ term: $\frac{971}{10} + \frac{281i}{5}$ = $97.1 + 56.2i$
Simplify Constant Term: Simplify the constant term: $\newline$ $\frac{87i}{5} - \frac{736}{5}$ $\newline$ = $17.4i - 147.2$
Rewrite Polynomial: Now, we rewrite the polynomial with the simplified coefficients: $(-105.7 + 128.3i)x^3 + (27.3 - 12.1i)x^2 + (97.1 + 56.2i)x + (17.4i - 147.2)$