From the following figure,find the number of real zeros of $y=p(x)$:

What must be added to the polynomial $p(x) = 6x^5 + 5x^4 + 11x^3 - 3x^2 + x + 1$ so that the resulting polynomial is exactly divisible by $3x^2 - 2x + 4$? (Hint: add $-r(x)$ to $p(x)$)

State the degree of the following polynomial: $p(x) = x^{15} - (x^5)^6 + x^3 - 7$.

$A$ quadratic polynomial, whose zeroes are $-3$ and $4,$ is

The value of $p(x) = 4x^3 + 3x^2 + 2x + 1$ at $x = 1$ is $\ldots \ldots \ldots$

Find the division of the following by synthetic division method: $p(x) = x^{4} - a^{4}$ by $x - a$.