SOLUTION: please help me to answer the definition with example of "the product of polynomials"

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please help me to answer the definition with example of "the product of polynomials"       Log On


   



Question 1038324: please help me to answer the definition with example of "the product of polynomials"
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=2.
  • Graphical form: Equation x%2Bx-x%2B2x=6 was fully solved.
  • Text form: x+x-x+2x=6 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2Bx-x%2B2x=6+%29
    For tutors: simplify_cartoon( x+x-x+2x=6 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+x+%29,highlight_red%28+-x+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29
It becomes highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29=6.

Look at .
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ax=6.

Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29=6.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ax=6.

Look at 3%2Ax=highlight_red%28+6+%29.
Moved these terms to the left highlight_green%28+-6+%29
It becomes 3%2Ax-highlight_green%28+6+%29=0.

Look at highlight_red%28+3%2Ax-6+%29=0.
Solved linear equation highlight_red%28+3%2Ax-6=0+%29 equivalent to 3*x-6 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=2.

Universal Simplifier and Solver


Done!
You can multiply polynomials horizontally or vertically.
Examples
Horizontal:
(x+3)(x+2):
= (x+3)(x)+(x+3)(2)
= x(x)+3(x)+x(2)+3(2)
= x2+3x+2x+6
= x2+5x+6
`````````````````````````````
Vertical - same equation:
(x+3)(x+2):
x+3
×x+2
----
2x+6
x^2+3x
------
x^2+5x+6 notice that I get the same answer as before.