Question

Write a quadratic polynomial, whose sum and product of zeros are 5 and 6 respectively.
respectively. please give answer I'll mark you as brainliest​

Answer 1

Answer:

x^2-5x+6

Explanation:

GIVEN- alpha+bita= 5= -b/a

alpha bita= 6= c/a

TO FIND- quadratic polynomial

SOLUTION -

quadratic polynomial-

A polynomial of degree 2 is called a quadratic polynomial.

A quadratic polynomial is a polynomial of degree two, i.e., the highest exponent of the variable is two. In general, a quadratic polynomial will be of the form: p(x): ax2 + bx + c, a≠0

alpha+bita= 5= -b/a

alpha+bita= 5= -b/aalpha bita= 6= c/a

if a= 1 then b= -5 , c = -6

then quadratic polynomial is ax2 + bx + c and that is x^2-5x+6

FINAL ANSWER - x^2-5x+6

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Answer 2

Answer:

Required Quadratic Polynomial is $\mathrm{x}^{2}-5 \mathrm{x}+6$

Explanation:

A quadratic polynomial exists as a polynomial of degree 2. A univariate quadratic polynomial contains the form. An equation applying a quadratic polynomial is named a quadratic equation. A closed-form solution known as the quadratic formula exists for the answers to an arbitrary quadratic equation.

The quadratic polynomial whose roots are$a, b is x^{2}-(a+b) x+a b$ here

$\mathrm{a}=5$ and$\mathrm{b}=6$

Hence Required Quadratic Polynomial is $\mathrm{x}^{2}-5 \mathrm{x}+6$

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