Find a quadratic polynomial with integral coefficients having both sum

1.	Find a quadratic polynomial with integral coefficients having both sum and product of roots= 4.5
Answer» 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

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

Answer»

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

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

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