product of the root of the quadratic equation x²+3x=0(a)-3(b)3(c)0(d)1
Answers
Answer :
option (c) 0
Step-by-step explanation :
➤ Quadratic Polynomials :
✯ It is a polynomial of degree 2
✯ General form :
ax² + bx + c = 0
✯ Determinant, D = b² - 4ac
✯ Based on the value of Determinant, we can define the nature of roots.
D > 0 ; real and unequal roots
D = 0 ; real and equal roots
D < 0 ; no real roots i.e., imaginary
✯ Relationship between zeroes and coefficients :
✩ Sum of zeroes = -b/a
✩ Product of zeroes = c/a
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Given quadratic equation,
x² + 3x = 0
It is of the form ax² + bx + c = 0
a = 1, b = 3 , c = 0
a - coefficient of x²
b - coefficient of x
c - constant term
we know,
Product of roots = c/a
= 0/1
= 0
Therefore, the product of roots = 0