Question

Given that one of zeroes of quadratic polynomial is zero, then the sum of zeroes of given polynomial is _____ to the other zero.​

Answer 1

Answer:

equal

Step-by-step explanation:

Quadratic Polynomials :

• A polynomial of degree 2
• General form :

ax² + bx + c = 0

• Relation between zeroes and coefficients :

Sum of zeroes = -b/a

Product of zeroes = c/a

• Quadratic formula :

$\sf x = \dfrac{ - b \pm \sqrt{{b}^{2} - 4ac} }{2a}$

• Based on the value of discriminant, the nature of zeroes is determined.

D = b² - 4ac

If D = 0 , roots are real and equal

If D > 0 , roots are real and distinct

If D < 0 , roots are not real

___________

Given,

one zero = 0

Let other zero be "p"

sum of zeros = 0 + p

sum of zeroes = p

Therefore,

the sum of zeroes of given polynomial is equal to the other zero.