Question

If two of the zeroes are cubic polynomial ax³+bx²+cx+d are each equal to zero then the third zero is ​

Answer 1

Given two zeroes of a cubic polynomial ax

3+bx 2+cx+d

are zero, Let third zero be y

then sum of zeroes = a−b

⇒0+0+y= a−b

⇒y= a−b

Answer 2

Step-by-step explanation:

Given :-

Two of the zeroes are cubic polynomial ax³+bx²+cx+d are each equal to zero .

To find:-

Find the third zero of the polynomial ?

Solution:-

Given that

The Cubic Polynomial = P(x) = ax³+bx²+cx+d

Given two zeroes = 0 and 0

Let the third zero be A

We know that

Sum of the zeroes = -b/a

=> 0+0+A = -b/a

=> A = - b/a

Therefore, third zero = -b/a

Answer:-

The third zero of the given Cubic Polynomial is -b/a

Used formulae:-

• Sum of the zeroes of a Cubic Polynomial ax³+bx²+cx+d is -b/a

Points to know:-

• Product of the zeroes of a cubic Polynomial = -d/a
• The sum of the product of the two zeroes taken at a time = c/a