Polynomials (Manipulation and Zeros)
India
Class IX
Multiplicity of a Root
Interactive practice questions
Consider the polynomial $P\left(x\right)=\left(x+6\right)^3\left(x-3\right)\left(x+9\right)$P(x)=(x+6)3(x−3)(x+9).
a
For the equation $P\left(x\right)=0$P(x)=0, what is the multiplicity of the root $x=-6$x=−6?
b
For the equation $P\left(x\right)=0$P(x)=0, what is the multiplicity of the root $x=-9$x=−9?
Easy
< 1min
Which of the following equations has a root of multiplicity $4$4?
Easy
< 1min
Which of the following equations have a root of multiplicity $3$3?
Easy
1min
Consider the polynomial $P\left(x\right)=x^3-15x^2+72x-108$P(x)=x3−15x2+72x−108.
Easy
5min
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