multiply the following polynomials. explain
2007-06-03 09:00:01 · 6 answers · asked by a h 1 in Science & Mathematics ➔ Mathematics
2x^4 - x^3 - 8x^2 + 34x - 15
It's just like FOILing, but on a bigger scale. You multiply every term in the first polynomial by every term in the second one and add them together.
2007-06-03 09:04:27 · answer #1 · answered by Sean B 1 · 0⤊ 0⤋
How to Multiply Using the FOIL Method
-The FOIL method is used to multiply two binomials in parenthesis. For example, (2X + 6)(X - 10) is multiplied to get 2X2 - 14X - 60
Steps:
1. Understand what FOIL stands for:
-First - multiply the first number in each set together.
-Outside - Multiply the outside numbers.
-Inside - Multiply the inside numbers.
-Last - Multiply the last number of each set together.
For the purposes of this how to, (2X + 6)(X - 10) will be the example.
(1 2)(3 4)
2. Multiply spaces 1 and 3 together.
2X * X = 2X2
3. Multiply spaces 1 and 4 together.
2X * (-10) = -20X
4. Multiply spaces 2 and 3 together.
6 * X = 6X
5. Multiply spaces 2 and 4 together.
6 * (-10) = -60
6. Combine and simplify.
2X2 -20X + 6X - 60
2X2 - 14X - 60
2007-06-03 09:14:56 · answer #2 · answered by Megan<3 1 · 0⤊ 0⤋
Distribute the 5x to each and each extensive type, then the -3 to each and each extensive type. 5x(x2) + 5x(-3x) + 5x(5) + -3(x2) + -3(-3x) + -3(5) So, you get 5x3 - 15x2 + 25x - 3x2 + 9x - 15 combine like words and you gets 5x3 - 18x2 + 34x - 15 and that's the form you multiply polynomials and simplify.
2016-10-09 09:28:50 · answer #3 · answered by Anonymous · 0⤊ 0⤋
What you want to do is.....multiply EACH variable....by the other one.
Example:
(a+b+c+d)(1+2+3+4)= 1a, 2a, 3a, 4a, 1b, 2b, 3b, 4b...
So..to your problem.
(x^2 - 3x + 5) (2x^2 + 5x - 3)
2x^4 + 5x^3 - 3x^2 - 6x^3 - 15x + 6x + 10x^2 + 25x - 15=
1st variable 2nd variable----------- 3rd variable------
After simplification, (subtracting values and etc.) you should get
2x^4 - x^3 - 8x^2 +34x - 15 this is your final answer.
2007-06-03 09:17:19 · answer #4 · answered by насќег 4 · 0⤊ 0⤋
you need to distribute the first equation to the second equation by multiplying each of the variables in the first by each variable in the second and combine like terms!
2007-06-03 09:04:58 · answer #5 · answered by polkadots 2 · 0⤊ 0⤋
x^2*2x^2=2x^4
x^2*5x=5x^3
x^2*-3=-3x^2
-3x*2x^2=-6x^3
-3x*5x=-15x^2
-3x*-4=9x
5*2x^2=10x^2
5*5x=25x
5*-3=-15
2x^4-x^3-8x^2+34x-15
2007-06-03 09:35:03 · answer #6 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋