Question

the sum of product of two zeroes of which of the following cubic polynomial will be-7 please answer this question ​

Answer 1

Answer:

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

Sum of the polynomial = α+β+γ=12=a−b

Sum of the product of its zeroes taken two at a time = αβ+βγ+αγ=1−7=ac

Product of the root = αβγ=1−14=a−d

If a=1,b=−2,c=−7,d=14.

Hence the polynomial is  x3−2x2−7x+14

Answer 2

Answer:

Step-by-step explanation:

Since the sum of roots =2

Sum of product of roots taken two at a time −7

and product of roots =−14

The polynomial will be =x ∧3  −2x ∧2  −7x+14

Hence, the answer is x ∧3  −2x∧2  −7x+14.