Question

If the product of zeros of the polynomial mx2 − 3x − 3 is 5, find the value of .​

Answer 1

Correct Question : If the product of zeros of the polynomial mx2 − 3x − 3 is 5, find the value of m .

Answer:

$\boxed{\sf\red{ m=\dfrac{-3}{5}}}$

Step by step explanation:

A quadratic polynomial is given to us , and we need to find the value of m , which is the coefficient of m² . The quadratic polynomial is ,

$\sf\red{\dashrightarrow} p(x)= mx^2 - 3x - 3$

• And the product of zeroes is 5 . We know that wrt Standard form ax² + bx + c, the product of zeroes is given by c/a .

• And here wrt Standard form , we have c = (-3) and a = m

$\sf\dashrightarrow Product_{(Zeroes)}= \dfrac{c}{a} \\\\\sf\dashrightarrow \dfrac{ c}{a}= 5 \\\\\sf\dashrightarrow \dfrac{ -3}{m}= 5 \\\\\sf\dashrightarrow\boxed{\pink{\sf m = \dfrac{-3}{5}}}$

$\rule{200}2$