Question

Write a polynomial the roots of which are 2 and -3.​

Answer 1

Answer:

The polynomial is $x^{2} - x + 6 = 0$

Step-by-step explanation:

As we know that the general term or the usual term of the expression is as follows:

$ax^{2} + bx + c = 0$

Now we have been given that roots are (-3) and 2, and we put these two in the expression and find the equation.

Therefore, we have the following:

We have ∴ α = 2 , β = -3

$x^{2} - ( sum of roots)x + product of roots$

⇒$x^{2} - ( 2 - 3)x + (2)(-3) = 0$

⇒ $x^{2} + x - 6 =0$

Therefore the polynomial is $x^{2} - x + 6 = 0$

Answer 2

Answer is in the picture.