Question

Factorize this:
x^2 - 2(a+1/a)x+4

Answer 1

Answer:

Simplify —

a

Equation at the end of step

1

:

1

((x2)-((2•(a+—))•x))+4

a

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Adding a fraction to a whole

Rewrite the whole as a fraction using a as the denominator :

a a • a

a = — = —————

1 a

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

a • a + 1 a2 + 1

————————— = ——————

a a

Equation at the end of step

2

:

(a2 + 1)

((x2) - ((2 • ————————) • x)) + 4

a

STEP

3

:

Polynomial Roots Calculator :

3.1 Find roots (zeroes) of : F(a) = a2+1

Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers a which can be expressed as the quotient of two integers

Answer 2

Answer:

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