Question

Find the cubic poly nominal with the sum ,sum of the product of its zeroes taken two at a time , and the product of its zeroes is 2,-7,-14 respectively

Answer 1

Answer:

no

Step-by-step explanation:

Answer 2

Let the polynomial be ax³ + bx² + cx + d and the zeroes be α, β and γ.

Then,

(i) α + β + γ = -(-2)/1 = 2

(ii) αβ + βγ + γα = -7 = -7/1 = c/a

(iii) αβγ = -14 = -14/1 = -d/a

∴ a = 1, b = -2, c = -7 and d = 14.

So, one cubic polynomial which satisfy the given conditions will be : x³ - 2x²  - 7x + 14.

Hope this helps!