Five mark exercise problem - II — task. Mathematics State Board, Class 10.

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1. If \(x = \frac{a^2 + 3a - 4}{3a^2 - 3}\) and \(y = \frac{a^2 + 2a - 8}{2a^2 - 2a - 4}\), find the value of \(x^2 y^{-2}\).

Answer:

The value of \(x^2 y^{-2}\) is

\frac{i}{i}

If a polynomial \(p(x) = x^2 - 5x - 14\) is divided by a polynomial \(q(x)\) we get \(\frac{x - 7}{x + 2}\), find \(q(x)\).

Answer:

The polynomial \(q(x)\) \(=\)

i^{i} i i i i i

[Note: Enter the answer in the decreasing order of the variable.]

3. Which rational expression should be subtracted from \(\frac{x^2 + 6x + 8}{x^3 + 8}\) to get \(\frac{3}{x^2 - 2x + 4}\)?

Answer:

The rational expression is

\frac{i + i}{i^{i} - i i + i}

Did you find an error?

11. Five mark exercise problem - II