Question

multiple choice question
1)the product of the zeroes of the cubic polynomial a x²+bx+d is
a) -b\a
b) c\a
c) -d/a
d) -c/a​

Answer 1

Correct Question:

Multiple choice question

The product of the zeroes of the cubic polynomial ax³ + bx² + cx + d is

a) -b/a

b) c/a

c) -d/a

d) -c/a

Answer:

c) -d/a

Step-by-step explanation:

The given polynomial is ax³ + bx² + cx + d. We need to find out the product of zeros of it.

Let say that alpha, beta and gamma are the zeros of the cubic polynomial.

We know that,

For polynomial: ax² + bx + c

• alpha + beta = -b/a
• alpha × beta = c/a

For cubic polynomial:

• alpha + beta + gamma = -b/a
• alpha(beta) + beta(gamma) + gamma (alpha) = c/a
• alpha × beta × gamma = -d/a

From above we can say that,

Product of zeroes of cubic polynomial is -d/a. Therefore, the correct option is option c) -d/a.