Question

please help me to find this answer.​

Answer 1

Answer:Given quadratic polynomial f(x) = x2+px+45

Let α and β be the roots(zeros) of the given quadratic polynomial f(x) = x2+px+45

Also, given (α - β)2 = 144

We know that,  (α - β)2 =  (α + β)2 - 4αβ  

Now, we have from the quadratic polynomial f(x) = x2+px+45, (α + β) = -p, αβ = 45

⇒144 = (-p)2 - 4(45)

⇒144 = p2 - 180

⇒144 + 180 = p2

⇒324 = p2

⇒p2 = 324

⇒p = 18

Step-by-step explanation: