Embibe Experts Solutions for Chapter: Polynomials, Exercise 1: Exercise

The division of $3x^2-x^3-3x+5$ by $g\left(x\right)$ gives the quotient as $x-2$ and the remainder as $3$. Find $g\left(x\right)$

Divide $\left(2x^2+3x+2\right)$ by $\left(x+2\right)$.

Write a quadratic equation in standard form that has solutions $\frac{1}{2} \mathrm{and} 6$

Find a quadratic equation with roots $\frac{3}{4} \mathrm{and} -5$ whose leading coefficient is $1$.

When a polynomial $p\left(x\right)$ is divided by $3x-1$, the quotient and remainder are $x^2+2x-3$ and $5$ respectively. Find $p\left(x\right)$.

If $x^2+5x+6$ is divided by _____, then the quotient obtained is $x+2$ and the remainder is $0$

For a polynomial $y^6 + 3y^4 + y$, the number of zeros are _____.

If the graph of a polynomial intersects the x-axis at three points, then it contains _____ zeroes.