Question

find the value of a for which (x-a) is factor of polynomial f(x)=x5-a2x3+2x+a-3

Answer 1

Answer:

hope its help you...............

Answer 2

A polynomial equation is an equation where a polynomial is set equal to zero. i.e., it is an equation formed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It has different exponents. The highest one gives the degree of the equation.

If α be a value of x for which f(x) becomes zero, i.e., $f(\alpha ) = 0$, then α is said to be a root of the equation $f(x) n= 0$. In other words, α is called a root of the polynomial equation $f(x) = 0$ if $f(\alpha ) = 0.$

We say that $x=r$ is a root or zero of a polynomial, P(x) , if $P(r)=0 P ( r ) = 0 .$In other words, x=r is a root or zero of a polynomial if it is a solution to the equation $P(x)=0 P ( x ) = 0 .$

$x-a=0$

$x=a$ ....(i)

$f(x)=x^5-a^2 x^3 +2x+a-3$

$f(x)=a^5-a^2a^3+2a+a-3=0$

$f(a)=a^5-a^5+3a-3=0$

$a=1$

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