## If the zero of the polynomial x square – Px plus q are three and two then find the value of p and q

Question

If the zero of the polynomial x square – Px plus q are three and two then find the value of p and q

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6 days 2021-11-23T00:36:48+00:00 2 Answers 0 views 0

1. Question

If the zeroes of the polynomial are three and two respectively.

Then find the value of p and q .

Solution

In the above question, the following information is given –

The zeroes of the polynomial are three and two respectively.

2. Given: The zeros of the polynomial x² – px + q are 3 and 2.

To find: The value of p and q.

We know that the general form of a quadratic question is:

Comparing the given equation with the general form, we get that the sum of the zeros is p and the product is q.

Let’s take a sample equation.

ax² + bx + c

From this, the sum of the zeros is -b/a and the product is c/a.

Since 3 and 2 are the zeros,

Sum of the zeros ⇒ 3 + 2 = 5 = p

Product of the zeros ⇒ 3*2 = 6

Therefore, p = 5 and q = 6.