Question

if one of the zeros of the cubic polynomial ax^3+bx^2+cx+d is 0. then the product of the other two zeros is​

Answer 1

Answer:

c/a

Step-by-step explanation:

let roots of the equation be p,q,r

For a cubic equation,

Product of roots taken two at a time = c/a

pq+qr+rp= c/a.

One of the root is 0,

Let p=0,

So,

0xq + qxr + 0xr = c/a

0+qr+0 = c/a

qr = c/a.

So the product of other two zeros = c/a

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Answer 2

Step-by-step explanation:

when x=0

ax^3+bx^2+cx+d=0

it becomes d=0

now equation become

ax^3+bx^2+cx=0

i.e. = ax^2+bx+c=0

product of zeros of the given equation

= c/a