Answer:
The value of p is 14.
Step-by-step explanation:
We say that x = r is a root or zero of a polynomial if it is a solution to the equation P(x) = 0.
We know that the polynomial is [tex]P(x)=2x^2 + 3x - p[/tex] and x = 2 is the zero of the polynomial.
When x = 2 the equation [tex]P(2)=2(2)^2 + 3(2) - p=0[/tex] is true and we can find the value of p.
[tex]2\left(2\right)^2+3\left(2\right)-p=0\\\\2^3+6-p=0\\\\8+6-p=0\\\\14-p=0\\\\-p+14-14=0-14\\\\-p=-14\\\\\frac{-p}{-1}=\frac{-14}{-1}\\\\p=14[/tex]
