Polynomials (Manipulation and Zeros)
India
Class IX
Factorising from roots (includes complex roots)
Interactive practice questions
Fill in the gap to make the statement true.
If a polynomial equation is of degree $n$n, then counting multiple roots separately, the equation has $\editable{}$ roots.
Easy
< 1min
Factor $P\left(x\right)=x^3+2x^2-3x-6$P(x)=x3+2x2−3x−6 into linear factors given that $-2$−2 is a zero of $P\left(x\right)$P(x).
Easy
4min
Factor $P\left(x\right)=x^3+7x^2-5x-75$P(x)=x3+7x2−5x−75 into linear factors given that $-5$−5 is a zero of $P\left(x\right)$P(x).
Easy
3min
Factor $P\left(x\right)=3x^3-5x^2-4x+4$P(x)=3x3−5x2−4x+4 into linear factors given that $2$2 is a zero of $P\left(x\right)$P(x).
Easy
4min
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