Question

Write a quadratic polynomial sum of whose zeroes is 2 root 3 and product is 5

Answer 1

Hey mate your answer is ☺
By using the Formula of quadratic polynomial
X²- (sum of zeroes) x+ product of zeroes
X²-2√3 +5

Answer 2

Answer:

Concept:
A degree two polynomial is a quadratic polynomial.

A polynomial of degree two, or one in which two is the highest exponent of the variable, is a quadratic polynomial. A quadratic polynomial will typically have the following form: p(x): a$x^{2}$ + bx + c, a≠0.

Step-by-step explanation:

Given:

A quadratic polynomial sum of whose zeroes are 2 root 3 and product is 5.

Find:

Write the quadratic polynomial.
Solution:

Let the zeros of quadratic polynomial be $\mathrm{p}, \mathrm{q}$

$\Rightarrow \mathrm{p}+\mathrm{q}=2 \sqrt{3}, \ \mathrm{pq}=5$

The equation of polynomial whose zeroes are p, q will be

$x^{2}-(p+q) x+p q \Rightarrow x^{2}-2 \sqrt{3} x+5$

Hence the required quadratic polynomial is $x^{2}-2 \sqrt{3} x+5$

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