SOLUTION: Use FOIL to multiply: (4x – 9)(3x – 5) As you should already know, FOIL means, first-outer-inner-last multiply: F means to first multiply First terms, which are 4x and 3x a

Algebra ->  Linear-equations -> SOLUTION: Use FOIL to multiply: (4x – 9)(3x – 5) As you should already know, FOIL means, first-outer-inner-last multiply: F means to first multiply First terms, which are 4x and 3x a      Log On


   



Question 79766: Use FOIL to multiply:
(4x – 9)(3x – 5)
As you should already know, FOIL means, first-outer-inner-last
multiply:
F means to first multiply First terms, which are 4x and 3x and it = 12x^2
O means to secondly multiply the Outer terms, which are 4x and -5 and it= -20x
I means to thirdly multiply the Inner terms, which are -9 and 3x and it= -27x
L means to lastly multiply the Last two terms, which are -9 and -5 and it= 45
Now you have come up with the solution, 12x^2-20x-27x+45 since you have two variables(-20x and -27x) that are alike you may add them together.
The outcome should be 12x^2-47x+45 is the solution to the product of those two binomials.
6. Multiply:
(x4 + 3x2 – 1)(x2 – x + 2) I am going to introduce to you the vertical method for this one.
In the vertical method, you simply multiply the equations as you would do any other math multiplication problem.(Set the problem up as if were a regular problem as demonstrated below):
x4+3x2-1
x2-x+2
---------
4x4+6x2-2
x5-3x3+1x
+ x6 +3x4-1x2
----------------------
x6+x5-3x3+x+7x4+5x2-2
this is your product. now all you have to do is put your equation in order from least to greatest by exponents in this case because sometimes its by varibles.
x6+x5+7x4-3x3+5x2+x-2


Found 2 solutions by ankor@dixie-net.com, AmberLRO:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
PLease help due tonite. Please break it down for me to learn the steps to solve them. Thank you

5. Use FOIL to multiply:
Hopefully, you know that FOIL stands for, first, outer, inner, last
:
(4x – 9)(3x – 5)
F: 4x * 3x = 12x^2
O: 4x * -5 = -20x
I: -9 * 3x = -27x
L: -9 * -5 = +45
:
results: 12x^2 - 20x - 27x + 45
Combine like terms: 12x^2 - 47x + 45 is the answer
6. Multiply:
(x4 + 3x2 – 1)(x2 – x + 2)
:
Here you will just have to do it old fashioned way except you have to put
zeros where the degree is not represented, much like zero separate significant
digits on ordinary numbers, It keeps everything lined up;so we have:
:
.........................x^4 + 0x^3 + 3x^2 + 0x - 1
...............times.............................x^2 - x + 2
...............---------------------------------
........................2x^4 + 0x^3 + 6x^2 + 0x - 2
..............-x^5 + 0x^4 -3x^3 +0x^2 + x
..x^6 + 0x^5 + 3x^4 + 0x^3 - x^2
------------------------------------------
x^6 - x^5 + 5x^4 - 3x^3 + 5x^2 + x - 2
:
This is the method, but check my work carefully, a great many ways to make a mistake here.
Write it out yourself and compare your answer to mine.

Answer by AmberLRO(1) About Me  (Show Source):
You can put this solution on YOUR website!
Use FOIL to multiply:
(4x – 9)(3x – 5)
As you should already know, FOIL means, first-outer-inner-last
multiply:
F means to first multiply First terms, which are 4x and 3x and it = 12x^2
O means to secondly multiply the Outer terms, which are 4x and -5 and it= -20x
I means to thirdly multiply the Inner terms, which are -9 and 3x and it= -27x
L means to lastly multiply the Last two terms, which are -9 and -5 and it= 45
Now you have come up with the solution, 12x^2-20x-27x+45 since you have two variables(-20x and -27x) that are alike you may add them together.
The outcome should be 12x^2-47x+45 is the solution to the product of those two binomials.
6. Multiply:
(x4 + 3x2 – 1)(x2 – x + 2) I am going to introduce to you the vertical method for this one.
In the vertical method, you simply multiply the equations as you would do any other math multiplication problem.(Set the problem up as if were a regular problem as demonstrated below):
x4+3x2-1
x2-x+2
---------
4x4+6x2-2
x5-3x3+1x
+ x6 +3x4-1x2
----------------------
x6+x5-3x3+x+7x4+5x2-2
this is your product. now all you have to do is put your equation in order from least to greatest by exponents in this case because sometimes its by varibles.
x6+x5+7x4-3x3+5x2+x-2