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(5x^3-6x^2-8x+9)÷(x^4+2x^3+x+1)

Sagot :

[tex]\frac{5x^3-6x^2-8x\text{ +9}}{x^4+2x^3+x+1}[/tex]

We can no longer divide, since the exponent on the numerator is smaller than the exponent on the denominator

But we can present it in the form;

[tex]Q(x)\text{ +}\frac{R(x)}{d(x)}[/tex]

In order to find the remainder and the quotient

[tex]^{}x^4+2x^3+x+1\sqrt[]{5x^{3\text{ }}-6x^2-8x+9}[/tex]

Since, we can no longer divide it, then;

Q(x) =0

R(x) = 5x³ - 6x² -8x +9

d(x) = x⁴+2x³ + x + 1

[tex]0\text{ + }\frac{5x^3-6x^2-8x+9}{x^4+2x^3+x+1}[/tex]