Question

the sum of products of zeroes taken two at a time of the polynomial f(x) = x3 - 5x2 + 3x + 4 is:
a) 5
b) 0
c) 3
d) -5​

Answer 1

Answer:

c)

Step-by-step explanation:

It is because by the formula of deviation by deviating a deviator

Answer 2

Answer:

The correct answer is option (c)  

Step-by-step explanation:

• Concept: If $\alpha,\beta,\gamma$ are zeroes of cubic $ax^3+bx^2+cx+d$, then

                         Sum of product of zeroes taken two at a time

                                            $=\alpha\beta+\beta\gamma+\gamma\alpha=\dfrac{c}{a}$

Thus sum of products of zeroes taken two at a time of $x^3-5x^2+3x+4$ is

                                          $=\dfrac{3}{1}=3$