Question

If x-3 and x-1/3 are factors of P x^2+3x+r then find P and r​

Answer 1

Answer is in the photo attached check it out....!!!!!!

Answer 2

Answer:

P = 1 and r = 1

Step-by-step explanation:

To explain this question, let's consider a different & simple Example:

If 2 and 3 are factors of x, Then Find x.

<I know it's Easy>

x = 2 × 3 = 6

<Get back to your Question>

________________________________

Similarly,

If (x - 3) and (x - 1/3) are factors of (Px² + 3x + r).

Then,

(x - 3) (x - 1/3) = (Px² + 3x + r)

x² - (3 + 1/3)x + (3 × 1/3) = Px² + 3x + r

x² - 10/3 x + 1 = Px² + 3x + r

Comparing, we get:

P = 1

r = 1

<hope you got that>

Thanks!