Polynomials Quiz 5

For the expression f(x) =  $x^3+ax^2+bx+c$ if f(1) = f(2) = 0 and f(4) = f(0). Find the values of a, b, c.

If $(x^4+ax^3-7x^2-8x+b)$ is completely divisible by $(x^2+5x+6)$. Then the values of a and b are ................

$x^3+2x^2+ax+b$ is exactly divisible by $(x^2-1)$ . The values of a and b is …………

Find the remainder when $x^4+15x^3+6x^2+12x+3$ is divided by x + 2 ? ……………

If $x^2 + x -1$ is a factor of x4 + $px^3 + qx^2 – 1$ then the values of p and q can be …………

If the zeroes of the rational expression (ax + b) (3x + 2) are $\frac{-2}{3}$ and $\frac{1}{2}$ then a + b = …………

Simplify $\frac{x+1}{x-1}+\frac{x-1}{x+1}-\frac{2x^2-2}{x^2+1}$

Find f(4),f(-5),f (3.2) if $f (x) = 6.2x^2 – 4x^3 + 4.28 ……$

The product of $x^3 + 2x^2 – 3x + 4$ and $2x^2 – 5x + 1$ is .........

If A = $\frac{x-1}{x+1}$ then 2A – $\frac{1}{2A}$