Question

The quadratic polynomial with 4 and 11 as the sum and product of its zero of its zero is

a.x2 +11x + 4

b.x2 +4x + 11

c.x2 +4x - 11

d.x2 - 4x + 11

Answer 1

Heya,

According to the question,

Sum of zeros of quadratic polynomial = 4
a + b = 4

Product of zeros of quadratic polynomial = 11
ab = 11

To form a quadratic polynomial,
k(x² - (a + b)x + ab)

'k' is constant

So,
In this the quadratic polynomial, will be;

k(x² - 4x + 11)

OR

x² - 4x + 11

Therefore,
the correct answer of the question is option (4) x² - 4x + 11

Hope this helps....:)