Question

please solve it as soon as possible​

Answer 1

Answer:

Since (x - 3) & (x - $\frac{1}{3}$) are factors of px² + 5x + r

then, x = 3,$\frac{1}{3}$ are factors of this polynomial

Polynomial = px² + 5x + r

∴ a = p ; b = 5 ; c = r

∴ Product of roots = αβ = $\frac{c}{a}$

                                = 3 × $\frac{1}{3}$ = $\frac{r}{p}$

                                = 1 = $\frac{r}{p}$

∴ p = r                                                        $Hence$ $Proved.$