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Sunday, April 26, 2020

Polynomials Questions

Q1 Number of zeroes in $X^3-1$. are ...... Give reason to support your answer.

Sol  Number of zeroes in $X^3 -1$ are 3. As the equation is cubic or has degree three.

Q2 The sum and product of the zeroes of the quadratic polynomial are 2 and 15 then what will be the polynomial is
Sol 
Given $\alpha + \beta=2$
 $\alpha\beta=15$

Quadratic polynomial is given by
$x^2-(\alpha+\beta)x + \alpha\beta$
Hence the equation is 
$x^2-2x+15$