Expand the expression 1/4(4x^4-9x^28x+-12)

 Exercise

$\frac{1}{4}\left(4x^4-9x^2+8x-12\right)$

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Multiply the single term $\frac{1}{4}$ by each term of the polynomial $\left(4x^4-9x^2+8x-12\right)$

$4\cdot \left(\frac{1}{4}\right)x^4-9\cdot \left(\frac{1}{4}\right)x^2+8\cdot \left(\frac{1}{4}\right)x-12\cdot \left(\frac{1}{4}\right)$

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Simplifying

$\frac{4}{4}x^4-\frac{9}{4}x^2+\frac{8}{4}x-\frac{12}{4}$

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Divide $4$ by $4$

$x^4-\frac{9}{4}x^2+\frac{8}{4}x-\frac{12}{4}$

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Divide $8$ by $4$

$x^4-\frac{9}{4}x^2+2x-\frac{12}{4}$

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Divide $-12$ by $4$

$x^4-\frac{9}{4}x^2+2x-3$

$x^4-\frac{9}{4}x^2+2x-3$

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