Five mark example problems IV — task. Mathematics State Board, Class 9.

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Answer variants:

$-11$

$11$

$\frac{-50}{9}$

$6$

$\left(x^2 - \frac{5}{3}x + \frac{5}{9} \right)$

$\left(x^2 - \frac{5}{3}x - \frac{5}{9} \right)$

$\frac{50}{9}$

$5$

$-6$

$-5$

1. Find the quotient and remainder when

$3x^3 - 4x^2 - 5$ is divided by

$3x + 1$ using synthetic division.

Answer:

Quotient

$=$

Remainder

$=$

2. If the quotient on dividing

$x^4 + 10x^3 + 35x^2 + 50x + 29$ by

$(x + 4)$ is

$x^3 - ax^2 + bx + 6$ , then find the value of

$a$ ,

$b$ and also remainder.

Answer:

$a =$

$b =$

Remainder

$=$

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17. Five mark example problems IV