Question

y^3-2(y-10) Put y=10
$y{3} - 2(y -10)$
​

Answer 1

STEP1:

1 Simplify — 1

Equation at the end of step1:

27 (((y3)+————)-9y)-(1•y) (y2)

STEP 2 :

27 Simplify —— y2

Equation at the end of step2:

27 (((y3) + ——) - 9y) - y y2

STEP 3 :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  y2  as the denominator :

y3 y3 • y2 y3 = —— = ——————— 1 y2

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 :

 3.2       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:

y3 • y2 + 27 y5 + 27 ———————————— = ——————— y2 y2

Equation at the end of step3:

(y5 + 27) (————————— - 9y) - y y2

STEP4:

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  y2  as the denominator :

9y 9y • y2 9y = —— = ——————— 1 y2

Polynomial Roots Calculator :

 4.2    Find roots (zeroes) of :       F(y) = y5 + 27

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

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

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  27.

 The factor(s) are:

of the Leading Coefficient :  1

 of the Trailing Constant :  1 ,3 ,9 ,27

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