Question

find the sum and product of the zeros of the quadratic polynomial.
3x ² + 5x - 2​

Answer 1

Answer:

Let f(x) = 3x2 + 5x – 2 By splitting the middle term, we get f(x) = 3x2 + (6 – 1)x – 2 [∵ 5 = 6 – 1 and 2×3 = 6] = 3x2 + 6x – x – 2 = 3x(x + 2) – 1(x + 2) = (3x – 1) (x + 2) On putting f(x) = 0 , we get (3x – 1) (x + 2) = 0 ⇒ 3x – 1 = 0 or x + 2 = 0 x = 1/3 or x = – 2 Thus, the zeroes of the given polynomial 3x2 + 5x – 2 are – 2 and 1/3. Verification Read more on Sarthaks.com - https://www.sarthaks.com/921174/find-zeroes-thequadratic-polynomials-verify-relationship-between-zeroes-coefficients

Answer 2

Answer:

sum of zeroes is -5/3

and product of zeroes is -2/3

Step-by-step explanation:

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