Question

If α, β and γ are the zeros of p(x) = ax³ +b x² +cx +d , then αβγ is

a/d

-a/d

-d/c

d/c​

Answer 1

Answer:

-d/a

Step-by-step explanation:

Let a cubic equation be:

ax3+bx2+cx+d=0

a,b,c,d are non-zero constants.

Let the roots of the equation be α, β and γ.

The sum of roots is -b/a and the product of roots is -d/a.

This means that:

α + β + γ =−b/a

α β γ = −d/a

I can give you an example:

What are the sum and product of the roots of the cubic equation

x3+4x2−10x−18=0?

Answer:

Sum=-b/a

⟹−4/1=−4

Product=-d/a

⟹−(−18)/1=18.

Answer 2

mèss@gé mé β and γ are the zeros of p(x) = ax³ +b x² +cx +d , then αβγ is

a/d

-a/d

-d/c

d/c