Five mark exercise problem III — task. Mathematics State Board, Class 9.

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Answer variants:

\(-20\)

\(20\)

{2 x}^{3} + \frac{x^{2}}{2} - \frac{3 x}{8} + \frac{51}{32}

\(-94\)

\frac{109}{32}

\(388\)

{2 x}^{3} - \frac{x^{2}}{2} - \frac{3 x}{8} + \frac{51}{32}

\(94\)

- \frac{109}{32}

\(-388\)

{2 x}^{3} - \frac{x^{2}}{2} + \frac{3 x}{8} + \frac{51}{32}

1. Find the quotient and remainder of \((8x^4 - 2x^2 + 6x + 5) \div (4x + 1)\) using synthetic division.

Answer:

Quotient \(=\)

Remainder \(=\)

2. If the quotient obtained on dividing \(3x^3 + 11x^2 + 34x + 106\) by \(x - 3\) is \(3x^2 + ax + b\), then find \(a\), \(b\) and also the remainder.

Answer:

\(a =\)

\(b =\)

Remainder \(=\)

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20. Five mark exercise problem III

Exercise condition: