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The are many ways to factor equations or expressions. One of the ways is F.O.I.L. You use this method when you have a trinomial or a binomial. The F in F.O.I.L. means to multiply the first two terms for example if there’s an expression (x + 2)(x – 2) you would multiply the two x’s because they are first in the two terms. The O in F.O.I.L. means outer so you are going to multiply the two outer terms to use the same example with (x+2)(x-2) you will multiply x and -2 because they are the outer numbers in both terms. The I in F.O.I.L. means inner so you are going to multiply the two inner terms in (x+2) (x-2) your are going to multiply 2 and x because they are towards the inside of the equation. Finally the L in F.O.I.L. means last so you are going to multiply the last two numbers in both of the terms for in (x+2)(x-2) you will multiply 2 and -2 because they are the last numbers in both terms.
Examples: To use the problem solving strategy “Foil” to solve.
1. (x-15) (x + 14) = x²-x-210
2. (x – 2) (x – 1) = x² - 3x + 2
3. (dj + 4) (dj + 10) = d²j² + 14dj + 14 or (dj)² + 14dj + 14
4. (L + 12) (L – 4) = L² + 8L – 48
5. (m + 13) (m – 8) = m² + 5m – 104
Examples for class:
1) (x-6)(y+12)=
2) (2x-8)(x+2)=
3) (5qx+10)(4sx+5)=
4) (3q-15)(X-18)=
5) X²-100=
6) 6n²-n-15=
7) X²+11x+30=
8) (2x-4)(x-8)=
9) (x+4) (x+7)=
10) (x+9)(x+3)=
Over all F.O.I.L is an easy strategy to use when it comes to solving trinomials or four terms equations. It’s also a strategy to double check your answer when it’s in parenthesis. F.O.I.L is also better when it has squared numbers, all you have to make sure that before you start if the first and last numbers are perfect squares to reduced it to the greatest common factor to simply it, and if your equation is negative then just turn it back to positive by changing the last too, to the opposite sign if its negative change it positive, and if its positive change it to negative. To finish of F.O.I.L is a very common process used to save time.
By: Dionelis Santiago Rosario, and Jaeleen Guevera
The are many ways to factor equations or expressions. One of the ways is F.O.I.L. You use this method when you have a trinomial or a binomial. The F in F.O.I.L. means to multiply the first two terms for example if there’s an expression (x + 2)(x – 2) you would multiply the two x’s because they are first in the two terms. The O in F.O.I.L. means outer so you are going to multiply the two outer terms to use the same example with (x+2)(x-2) you will multiply x and -2 because they are the outer numbers in both terms. The I in F.O.I.L. means inner so you are going to multiply the two inner terms in (x+2) (x-2) your are going to multiply 2 and x because they are towards the inside of the equation. Finally the L in F.O.I.L. means last so you are going to multiply the last two numbers in both of the terms for in (x+2)(x-2) you will multiply 2 and -2 because they are the last numbers in both terms.
Examples: To use the problem solving strategy “Foil” to solve.
1. (x-15) (x + 14) = x²-x-210
2. (x – 2) (x – 1) = x² - 3x + 2
3. (dj + 4) (dj + 10) = d²j² + 14dj + 14 or (dj)² + 14dj + 14
4. (L + 12) (L – 4) = L² + 8L – 48
5. (m + 13) (m – 8) = m² + 5m – 104
Examples for class:
1) (x-6)(y+12)=
2) (2x-8)(x+2)=
3) (5qx+10)(4sx+5)=
4) (3q-15)(X-18)=
5) X²-100=
6) 6n²-n-15=
7) X²+11x+30=
8) (2x-4)(x-8)=
9) (x+4) (x+7)=
10) (x+9)(x+3)=
Over all F.O.I.L is an easy strategy to use when it comes to solving trinomials or four terms equations. It’s also a strategy to double check your answer when it’s in parenthesis. F.O.I.L is also better when it has squared numbers, all you have to make sure that before you start if the first and last numbers are perfect squares to reduced it to the greatest common factor to simply it, and if your equation is negative then just turn it back to positive by changing the last too, to the opposite sign if its negative change it positive, and if its positive change it to negative. To finish of F.O.I.L is a very common process used to save time.
By: Dionelis Santiago Rosario, and Jaeleen Guevera
posted by jaeleen @ 8:12 AM
3 Comments:
At 10:59 AM,
ScHeNeLl said…
1) (x-6)(y+12)=xy=12x-6y-36
2) (2x-8)(x+2)=2x^2-4x-16
3) (5qx+10)(4sx+5)20qxs+25qx+40sx+50
4) (3q-15)(X-18)= 3qx-54q-15x-170
5) X²-100=(x-10)(x+10)
6) 6n²-n-15=(3n-3)(n-5)
7) X²+11x+30=(x+5)(x+6)
8) (2x-4)(x-8)=2x^2-12x-32
9) (x+4) (x+7)=x^2+11x+28
10) (x+9)(x+3)=x^2+12x+27
At 11:02 AM,
David Guity said…
Examples for class:
1) (x-6)(y+12)=xy+12x-6y-72
2) (2x-8)(x+2)=2x^2+4x-8x-16
answer:2x^2-4x-16
3) (5qx+10)(4sx+5)= 20qsx^2+25qx+40sx+50
4) (3q-15)(X-18)=3qx-54q-15x+270
5) X²-100=(x+10)(x-10)
6) 6n²-n-15=(3n+5)(2n+3)
7) X²+11x+30=(x+6)(x+5)
8) (2x-4)(x-8)=2x^2-20x+32
9) (x+4) (x+7)= x^2+11x+28
10) (x+9)(x+3)=X^2+12x+27
At 11:04 AM,
Billy said…
) (x-6)(y+12)=xy=12x-6y-36
2) (2x-8)(x+2)=2x^2-4x-16
3) (5qx+10)(4sx+5)=20qxs+25qx+40sx+50)
4) (3q-15)(X-18)= 3qx-54q-15x-170
5) X²-100=(x-10)(x+10)
6) 6n²-n-15=(3n-3)(n-5)
7) X²+11x+30=(x+5)(x+6)
8) (2x-4)(x-8)=2x^2-12x-32
9) (x+4) (x+7)=x^2+11x+28
10) (x+9)(x+3)=x^2+12x+27
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