Question

Q.2 Write the polynomial ,the product and sum of whose zeroes are -9/2 and -3/2 respectively.

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{Sum\;of\;zeroes=\dfrac{-3}{2}}$

$\mathsf{Product\;of\;zeroes=\dfrac{-9}{2}}$

$\underline{\textbf{To find:}}$

$\textsf{The quadratic polynomial}$

$\underline{\textbf{Solution:}}$

$\textsf{The required polynomial is}$

$\mathsf{x^2-(sum\;of\;zeroes)x+(product\;of\;zeroes)}$

$\mathsf{=x^2-\left(\dfrac{-3}{2}\right)x+\left(\dfrac{-9}{2}\right)}$

$\mathsf{=x^2+\dfrac{3}{2}x-\dfrac{9}{2}}$

$\mathsf{=\dfrac{2x^2+3x-9}{2}}$

$\mathsf{=\dfrac{1}{2}(2x^2+3x-9)}$

$\underline{\textbf{Find more:}}$

One of the Zeroes of polynomial p (x)= (k-1) x²-kx +1 is ​

https://brainly.in/question/23339442