Question

find the sum and the product of the zeroes of the polynomial 4x2-3x+5. without actually determining them
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Answer 1

Step-by-step explanation:

$\textit{so,without actually determining zeroes,we have to find sum and product of zeroes!!} \\\\ then,we \ must \ know \ the \ relation \ between \ the \ zeroes \ and \ coefficients. \\\\ A \ polynomial \ is \ of \ the \ form \ ax^2+bx+c \\\\ \boxed{\textbf{product \ of \ zeroes \ = \ c/a}} \\ \boxed{\textbf{sum \ of \ zeroes \ = -b/a}}\\\\ \textit{given polynomial}, \\ 4x^2-3x+5 \\\\ here; a=4,b=-3,c=5\\\\ => product \ of \ zeroes =c/a = \frac{5}{4} \\\\=>sum \ of \ zeroes=-b/a=\frac{-(-3)}{4}=\frac{3}{4}$

$\underline{hope \ it \ helps}$