Question

$\text{Find a quadratic polynomial, the sum and product of whose zeroes are}-3\text{and}2\text{respectively.}$

Answer 1

$$\begin{gathered} \mathbf{\text{Find the quadratic polynomial:}} \\ \text{sum of zeroes is}-3 \\ \text{product of zeroes is}2 \\ \text{We know that,} \\ \text{The quadratic polynomial is}=x^2-\text{(sum of zeroes)}x+\text{(product of zeroes)} \\ =x^2-(-3)x+\left(2\right) \\ =x^2+3x+2 \\ \text{Therefore, the quadratic polynomial is}p\left(x\right)=x^2+3x+2. \end{gathered}$$