Factoring Algebra solver

Introduction :

                   In mathematics, algebra is the one of the important branch in mathematics. Algebra includes polynomials, inequalities and matrices. Factoring is the process of the given polynomial expression can be factored by using the greatest common factor method. Factoring algebra solver is used to different types of expressions in algebra which can besolved the expression in the factorization form. Let us solve some example problems in factoring algebra.


Factoring Algebra solver - Steps for factoring:


Different steps for factoring are,

* Given polynomial expression is in the form of ax2 + bx + c = 0.

* Determine the greatest common factor.

* Each factor is set to zero.

* Solve the terms.


Factoring Algebra solver - Example problems:


Some example problems for factoring algebra are,

Example 1:

Factor the given polynomial expression

7x2 + 28 – 53x  = 0

Solution:

          By using the factoring algebra solver, we enter into a, b and coefficients in the expression like in the solver.

               FactoringAlgebraSolver

          If we hit the calculate button, it will display the factorization form for the given expression like in the solver.

              FactoringAlgebraSolversolution

          Given polynomial expression

          7x2 + 28 – 53x  = 0

          Given polynomial is in the standard form ax2 + bx + c = 0

          7x2 – 53x + 28 = 0

          Greatest common factor for the expression

          7x2 – 49x – 4x + 28 = 0

          7x (x – 7) – 4(x – 7) = 0

          (x – 7) (7x – 4) = 0

        Solve the terms.

          x – 7 = 0 and 7x – 4 = 0

          x = 7 and 4/7

Solution: x = 7 and 4/7


Example 2:

Factor the given polynomial expression

a2 – 14 – 5a = 0

Solution:

         Given polynomial expression

          a2 – 14 – 5a = 0

          Given polynomial is in the standard form ax2 + bx + c = 0.

          a2 – 5a – 14 = 0

          Greatest common factor for the expression

          a2 – 7a + 2a – 14 = 0

          a (a – 7) + 2(a – 7) = 0

          (a – 7) (a + 2) = 0

        Solve the terms.

          a – 7 = 0 and a + 2 = 0

          a = 7 and – 2.

Solution: a = 7 and – 2.


Example 3:

Factor the given polynomial expression

10m2 + 89m – 9 = 0

Solution:

          Given polynomial expression

          10m2 + 89m – 9 = 0

          Given polynomial is in the standard form ax2 + bx + c = 0.

          10m2 + 89m – 9 = 0

          Greatest common factor for the expression

          10m2 + 90m – m – 9 = 0

          10m (m + 9) – 1 (m + 9) = 0

          (10m – 1) (m + 9) = 0

        Solve the terms.

          10m – 1 = 0 and m + 9 = 0

          m = 1/10 and – 9

Solution: m = 1/10 and – 9.


Factoring Algebra solver - Practice problems:


Practice problem 1:

Factor the given expression

a2 – 12 – 4a = 0

Solution:

a = - 2 and 6.


Practice problem 2:

Factor the given expression

a2 – 32 – 4a = 0

Solution:

a = - 4 and 8.