Polynomials (Manipulation and Zeros)
India
Class IX
Sums and Products of Roots (quadratic, cubic and quartic)
Interactive practice questions
Consider the quadratic equation $5\left(x+12\right)\left(x+2\right)=0$5(x+12)(x+2)=0.
a
Find the sum of the roots.
b
Find the product of the roots.
c
Express the quadratic in expanded form.
d
Hence, in the equation $ax^2+bx+c=0$ax2+bx+c=0, the sum of the roots is given by $\frac{\editable{}}{a}$a and the product of the roots is given by $\frac{\editable{}}{a}$a.
Easy
3min
Consider the quadratic equation $4x^2-17x+60=0$4x2−17x+60=0.
Easy
1min
Consider the cubic equation $\left(x+4\right)\left(x-5\right)\left(x+6\right)=0$(x+4)(x−5)(x+6)=0.
Easy
5min
Consider the cubic equation $\left(2x-4\right)\left(x+4\right)\left(x+6\right)=0$(2x−4)(x+4)(x+6)=0.
Easy
7min
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