Question

find the quadratic polynomial,the sum and product of whose zeroes are -4 and 2 respectively​

Answer 1

Step-by-step explanation:

x²+2x+8=0 is the answer of this question

Answer 2

Answer:

Step-by-step explanation:

ANSWER:-

Given:-

Sum of the two zeroes as -4

Product of two zeroes as 2.

$\boxed{\sf{Let\ the\ two\ Zeroes\ be\ \alpha\ and\ \beta}}$

So we know that

$\alpha + \beta = \frac{-b}{a}$

And also,

$\alpha \times \beta = \frac{c}{a}$

Using the both formulas above;

We can say that

$\boxed{\dfrac{{\sf{-b}}}{{\sf{a}}}=\dfrac{2}{1}}$

$\boxed{\dfrac{{\sf{c}}}{{\sf{a}}}=\dfrac{-4}{1}}$

And also , we know that

$x^2-(\alpha+\beta)x+(\alpha\beta)$

Placing it directly,

The final Quadratic Equation is :-

$\boxed{{\sf{x^2}}-{\sf{2x}}-4}$ is the Final Quadratic Equation.