Question 79766
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.