Question

if 2 is the zero of the polynomial ax3+bx2+CX+d​

Answer 1

Answer:

The third zero is -b/a

Step-by-step explanation:

Given,

Two of the zeroes of the cubic polynomial ax³ + bx² + cx + d are 0

Let zeroes of the equation be p, q, r

According to question,

Two zeroes [ p, q ] = 0, 0

We know,

Sum of roots = -b/a

Therefore,

By using relation between zeroes and coefficient of polynomial, we have:

p + q + r = -b / a

Substituting the values of p and q,

0 + 0 + r = -b / a

r = -b/a

Third zero = r = -b/a

Hence,

The third zero is -b/a