Question Text
Question 1 :
If the remainder on division of $x^3+2x^2+kx+3$ by $x-3$ is 21, find the value of k.
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19be0273b230584979a35.png' />
Look at the graph given above. The graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$.
Question 3 :
Divide the polynomial $p\left(x\right)$ by the polynomial $g\left(x\right)$ and find the quotient and remainder in the following : $p\left(x\right)$ = $x^4–3x^2+4x+5$, $g\left(x\right)$ = $x^2+1-x$
Question 4 :
Find the zeroes of the quadratic polynomial using the given sum and product respectively of the zeroes: $-\frac{3}{2\sqrt{5}}$, $-\frac{1}{2}$
Question 5 :
Find the zeroes of the quadratic polynomial using the given sum and product respectively of the zeroes: $\frac{21}{8}$, $\frac{5}{16}$
Question 6 :
Divide $3x^2 – x^3 – 3x + 5$ by $x – 1 – x^2$ and find the remainder. Is the remainder independent of $x$ ?
Question 7 :
Given that two of the zeroes of the cubic polynomial $ax^3+bx^2+cx+d$ are 0, the third zero is:
Question 8 :
The number of polynomials having zeroes as -2 and 5 is:
Question 9 :
If the polynomial $x^4-6x^3+16x^2-25x+10$ is divided by another polynomial $x^2– 2x+k$, the remainder comes out to be x + a, then k and a are 5 and -5 respectively.
