Students studying Algebra in Tustin can often benefit from the help of a tutor

when it comes to factoring.  Knowing the common factors of numbers and variables is the first step in factoring.  From there,

an Algebra tutor can teach his/her Tustin student about the FOIL method of multiplying and factoring.

To review, let’s start with a couple simpler Algebra factoring examples:

  • Factor 6x⁴ + 12x⁵
    • First off, what Algebra factors do these two quantities have in common?
    • Both can be divided by 1, 2, 3, and 6.  As 6 is the largest number in common, it is the best factor to use.
    • Both also have “x” raised to an exponent.  What is the greatest number of x’s that can be divided out of both quantities?  You can divide out four x’s, therefore divide by x⁴.
    • 6x⁴/6x⁴ = 1 and 12x⁵/6x⁴ = 2x
    • The final Algebra answer is 6x⁴(1 + 2x) or, written in standard form, 6x⁴(2x + 1)

The reverse of this question could be: Multiply 6x⁴(2x + 1).  As we learned in the first Algebra example, the answer would be 12x⁵ + 6x⁴.  But what about when there are multiple quantities to be multiplied in Algebra?

How can a Tustin Algebra student solve (2x + 1)(4x + 5)?

In this case, your Algebra tutor can explain the F.O.I.L. method of multiplying.

In Algebra, this stands for First, Outer, Inner, Last, and is an easy way to remember which algebraic quantities to multiply.

  • Multiply (2x +1)(4x +5)
    • Using FOIL, the steps are:
    • First: 2x x 4x = 8x 2
    • Outer: 2x x 5 = 10x
    • Inner: 1 x 4x = 4x
    • Last:  1 x 5 = 5
    • Combining these, we find: 8x 2  + 10x + 4x + 5
    • Combining like terms results in the answer: 8x 2  + 14x + 5

With enough practice and the help of an Algebra tutor, a Tustin Algebra student will have the FOIL method memorized in no time!

Get yourself on the right track by hiring an excellent Algebra tutor to come on a weekly or biweekly basis at the start of the school year!

 A Plus In Home Tutors offers tutoring for all subjects including Algebra in Tustin, Orange, Irvine, and throughout Orange County.

An Algebra Tutor in Tustin can help increase your comprehension and your test scores.

Earn an “A” in Algebra this year!  Visit  www.APlusInHomeTutors.com.

 

Posted in Algebra, Math, Tustin, Tutor, Tutoring