Question

Find the sum and the product of the zeros of the polynomial 3x^2+5x-10.

Answer 1

Step-by-step explanation:

we have to find sumand product of zeroes of the given polynomial 3x² - 5x + 6.

we know, for general form of quadratic polynomial, ax² + bx + c

sum of zeroes = - coefficient of x/coefficient of x² = -b/a

sum of zeroes = - coefficient of x/coefficient of x² = -b/a product of zeroes = constant/coefficient of x² = c/a

on comparing 3x² - 5x + 6 with ax² + bx + c we get, a = 3, b = -5 and c = 6

so, sum of zeroes = -b/a = -(-5)/3 = 5/3

product of zeroes = c/a = (6)/3 = 2

hence, sum of zeroes = 5/3

and product of zeroes = 2

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