Divided 8x³+2x⁴+7x²+4x+3 by x+3,
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Swarup1998:
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Given that,
p(x) = 8x³ + 2x⁴ + 7x³ + 4x² + 3
g(x) = x + 3
But p(x) not in the standard form. The above polynomial's degree is 4. So, it's a quartic polynomial.
Quartic polynomial's general form is,
Therefore, the general form of 8x³ + 2x⁴ + 7x² + 4x + 3 is,
Therefore, p(x) = 2x⁴ + 8x³ + 7x² + 4x + 3
But g(x) (or) x + 3 is a linear equation as it's degree is 1. The general form of a linear equation is,
As x + 3 is already in a general form, then we don't wanna to write it again in the general form.
Please refer the above attachment for your answer.
q(x) = 2x³ + 2x² + x + 1
r(x) = x + 3.
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