Question

In the binomial expansion (1+1/4)^n its 2nd and 3rd terms are equal find the value of n?

Answer 1

Step-by-step explanation:

x² + 7x + 10 is the required polynomial.

Explanation :

According to the Question

It is given that α and β are the zeroes of a polynomial .

Sum of zeros (α+β) = -7

Product of Zeros (αβ) = 10

we need to calculate the polynomial.

As we know that if the sum of zeros and product of zeros are given we can easily calculate the polynomial .

Let the Polynomial be P(x)

• P(x) = x²-(sum of zeros)x + (product of zeros)

Substitute the value we get

➻ P(x) = x²-(-7)x + (10)

➻ P(x) = x²+7x+10

So, the required polynomial is x² + 7x + 10.