Question

Find a quadratic polynomial with integral coefficients having both sum and product of roots= 4.5​

Answer 1

Answer:

2x² -9x+9 is the required polynomial.

Step-by-step explanation:

Given :

Sum of root of the quadratic = 4.5

Product of roots of the quadratic = 4.5

General form of a quadratic equation = x² - (sum of the roots)×x + product of  roots

          = x² -4.5x +4.5

Since the quadratic has integral coefficient we can multiply the total quadratic by 10

Therefore the quadratic with integral coefficient=10x² -45x+45

Simplifying the equation we get = 2x² -9x+9

Answer 2

Answer:

Step-by-step explanation: