Question

Find the sum and the product of zeroes of the polynomial : 3x²-5x +6.

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{given}\mathrm{quadratic}\mathrm{polynomial}\mathrm{is}, \\ \mathrm{p}\left(x\right)=3x^2-5x+6 \\ \mathrm{Comparing}\mathrm{it}\mathrm{with}\mathrm{standard}\mathrm{quadratic}\mathrm{polynomial}\mathrm{that}\mathrm{is}\mathrm{a}{x}^2+\mathrm{b}x+\mathrm{c},\mathrm{we}\mathrm{get} \\ \mathrm{a}=3;\mathrm{b}=-5;\mathrm{c}=6 \\ \mathrm{sum}\mathrm{of}\mathrm{zeroes}=-\frac{\mathrm{b}}{\mathrm{a}}=-\frac{\left(-5\right)}{3}=\frac{5}{3} \\ \mathrm{product}\mathrm{of}\mathrm{zeroes}=\frac{\mathrm{c}}{\mathrm{a}}=\frac{6}{3}=2 \end{gathered}$$