Reducing Fractions To Their Lowest Terms - Tiger Algebra

Step 1 :

Equation at the end of step 1 :

Step 2 :

Equation at the end of step 2 :

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Adding a fraction to a whole Rewrite the whole as a fraction using c2 as the denominator :

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

Step 4 :

Pulling out like terms :

4.1 Pull out like factors : c2 + 7c = c • (c + 7)

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions Add the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

Equation at the end of step 4 :

Step 5 :

Rewriting the whole as an Equivalent Fraction :

5.1 Adding a whole to a fraction Rewrite the whole as a fraction using c2 as the denominator :

Polynomial Roots Calculator :

5.2 Find roots (zeroes) of : F(c) = c4 + 7c3 + 10Polynomial Roots Calculator is a set of methods aimed at finding values of c for which F(c)=0 Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers c which can be expressed as the quotient of two integersThe 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 CoefficientIn this case, the Leading Coefficient is 1 and the Trailing Constant is 10. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 ,2 ,5 ,10 Let us test ....

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

5.3 Adding up the two equivalent fractions

Equation at the end of step 5 :

Step 6 :

Rewriting the whole as an Equivalent Fraction :

6.1 Subtracting a whole from a fraction Rewrite the whole as a fraction using c2 as the denominator :

Polynomial Roots Calculator :

6.2 Find roots (zeroes) of : F(c) = c4 + 9c3 + 10 See theory in step 5.2 In this case, the Leading Coefficient is 1 and the Trailing Constant is 10. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 ,2 ,5 ,10 Let us test ....

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

6.3 Adding up the two equivalent fractions

Equation at the end of step 6 :

Step 7 :

Rewriting the whole as an Equivalent Fraction :

7.1 Adding a whole to a fraction Rewrite the whole as a fraction using c2 as the denominator :

Polynomial Roots Calculator :

7.2 Find roots (zeroes) of : F(c) = c4 - 51c3 + 10 See theory in step 5.2 In this case, the Leading Coefficient is 1 and the Trailing Constant is 10. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 ,2 ,5 ,10 Let us test ....

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

7.3 Adding up the two equivalent fractions

Equation at the end of step 7 :

Step 8 :

Rewriting the whole as an Equivalent Fraction :

8.1 Adding a whole to a fraction Rewrite the whole as a fraction using c2 as the denominator :

Polynomial Roots Calculator :

8.2 Find roots (zeroes) of : F(c) = c4 - 47c3 + 10 See theory in step 5.2 In this case, the Leading Coefficient is 1 and the Trailing Constant is 10. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 ,2 ,5 ,10 Let us test ....

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

8.3 Adding up the two equivalent fractions

Checking for a perfect cube :

8.4 c4 - 47c3 + 15c2 + 10 is not a perfect cube

Trying to factor by pulling out :

8.5 Factoring: c4 - 47c3 + 15c2 + 10 Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: 15c2 + 10 Group 2: c4 - 47c3 Pull out from each group separately :Group 1: (3c2 + 2) • (5)Group 2: (c - 47) • (c3)Bad news !! Factoring by pulling out fails : The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

8.6 Find roots (zeroes) of : F(c) = c4 - 47c3 + 15c2 + 10 See theory in step 5.2 In this case, the Leading Coefficient is 1 and the Trailing Constant is 10. The factor(s) are: of the Leading Coefficient : 1 of the Trailing Constant : 1 ,2 ,5 ,10 Let us test ....

Polynomial Roots Calculator found no rational roots

Final result :