Question

write a quadratic polynomial whose roots are the points of intersection of ​(-2,3) (4,-7)

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The quadratic polynomial is $x^{2}$ + x - 2.

Step-by-step explanation:

Let the roots of quadratic polynomial = α and β

To find, the a quadratic polynomial = ?

∴ α = $\dfrac{-2+4}{2}=\dfrac{2}{2} =1$ and

β = $\dfrac{3-7}{2}=\dfrac{-4}{2} =-2$

The quadratic polynomial is:

$x^{2}$ -(α + β)x + αβ

= $x^{2}$ -(1 + (-2))x + 1(-2)

= $x^{2}$ -(- 1)x  -2

= $x^{2}$+ x - 2

Hence, the quadratic polynomial is $x^{2}$+ x - 2.