SOLUTION: find the value of the polynomial-x^2-10x+6 when x=2 can you please check this for me? -x^2-10+6 -(-2^2)-10(-2)+6 4+20-6=22

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: find the value of the polynomial-x^2-10x+6 when x=2 can you please check this for me? -x^2-10+6 -(-2^2)-10(-2)+6 4+20-6=22      Log On


   

Question 75555: find the value of the polynomial-x^2-10x+6 when x=2
can you please check this for me?
-x^2-10+6
-(-2^2)-10(-2)+6
4+20-6=22
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Plug 2 everywhere you see "x"
-%282%29%5E2-10%282%29%2B6
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: -%282%29%5E2-10%2A%282%29%2B6 simplifies to -18
  • Text form: -(2)^2-10*(2)+6 simplifies to -18
  • Cartoon (animation) form: simplify_cartoon%28+-%282%29%5E2-10%2A%282%29%2B6+%29
    For tutors: simplify_cartoon( -(2)^2-10*(2)+6 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -%282%29%5E2-highlight_red%28+10%2A%28highlight_red%28+2+%29%29+%29%2B6.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -%282%29%5E2-10%2Ahighlight_green%28+2+%29%2B6.
Look at -highlight_red%28+%282%29+%29%5Ehighlight_red%28+2+%29-10%2A2%2B6.
Replace constants in factor: highlight_red%28+%282%29+%29,highlight_red%28+2+%29 with highlight_green%28+4+%29
It becomes -highlight_green%28+4+%29-10%2A2%2B6.
Look at -4-highlight_red%28+10+%29%2Ahighlight_red%28+2+%29%2B6.
Multiplied numerator integers
It becomes -4-highlight_green%28+20+%29%2B6.
Look at -highlight_red%28+4+%29-highlight_red%28+20+%29%2Bhighlight_red%28+6+%29.
Added fractions or integers together
It becomes highlight_green%28+-18+%29.
Look at highlight_red%28+-18+%29.
Removed extra sign in front of -18
It becomes -highlight_green%28+18+%29.
Result: -18

Universal Simplifier and Solver


Done!

Your answer was close, but what you did wrong was you plugged in -2 in for x in the first term, while x is 2.
Hope this helps!