SOLUTION: How do I use synthetic substitution to find f(3) for f(x) = 2x^4 - 3x^2 - x + 2

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Question 6534: How do I use synthetic substitution to find f(3) for f(x) = 2x^4 - 3x^2 - x + 2
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
you wipe every "x" with your eraser and write in "3" instead of x.
that's literally what you should do.
2x%5E4+-+3x%5E2+-+x+%2B+2
2%2A3%5E4+-+3%2A3%5E2+-+3+%2B+2
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: 2%2A3%5E4-3%2A3%5E2-3%2B2 simplifies to 134
  • Text form: 2*3^4-3*3^2-3+2 simplifies to 134
  • Cartoon (animation) form: simplify_cartoon%28+2%2A3%5E4-3%2A3%5E2-3%2B2+%29
    For tutors: simplify_cartoon( 2*3^4-3*3^2-3+2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2Ahighlight_red%28+3+%29%5Ehighlight_red%28+4+%29-3%2A3%5E2-3%2B2.
Replace constants in factor: highlight_red%28+3+%29,highlight_red%28+4+%29 with highlight_green%28+81+%29
It becomes 2%2Ahighlight_green%28+81+%29-3%2A3%5E2-3%2B2.
Look at 2%2A81-3%2Ahighlight_red%28+3+%29%5Ehighlight_red%28+2+%29-3%2B2.
Replace constants in factor: highlight_red%28+3+%29,highlight_red%28+2+%29 with highlight_green%28+9+%29
It becomes 2%2A81-3%2Ahighlight_green%28+9+%29-3%2B2.
Look at 2%2A81-3%2A9-highlight_red%28+3+%29%2Bhighlight_red%28+2+%29.
Added fractions or integers together
It becomes 2%2A81-3%2A9%2Bhighlight_green%28+-1+%29.
Look at 2%2A81-3%2A9%2Bhighlight_red%28+-1+%29.
Removed extra sign in front of -1
It becomes 2%2A81-3%2A9-highlight_green%28+1+%29.
Look at highlight_red%28+2+%29%2Ahighlight_red%28+81+%29-3%2A9-1.
Multiplied numerator integers
It becomes highlight_green%28+162+%29-3%2A9-1.
Look at 162-highlight_red%28+3+%29%2Ahighlight_red%28+9+%29-1.
Multiplied numerator integers
It becomes 162-highlight_green%28+27+%29-1.
Look at highlight_red%28+162+%29-highlight_red%28+27+%29-highlight_red%28+1+%29.
Added fractions or integers together
It becomes highlight_green%28+134+%29.
Result: 134

Universal Simplifier and Solver


Done!