Question

If the zeroes of the polynomial $x^2+px+q$ are double in value to the zeroes of $2x^2-5x–3$, find the value of 𝒑 and 𝒒.

Answer 1

Let us find the coefficients.
For the first polynomial,
a = 1,
b = 2
c = q

For the second polynomial,
a = 2,
b = -5
c = -3

Step 1:
Find the zeroes of the given quadratic equation.

Step 2:
Find the zeroes of the required polynomial.


Step 3:
Find the sum and product of zeroes.

Step 4:
Find the value of p and q.

Hence the value of $p$ and $q$ are 5 and -6 respectively.