SOLUTION: Find the degree of the following polynomial function: f(x) = 4(x + 3)(x- 2)2 a. 1 b. 2 c. 3 d. 4 e. None of the others

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Question 43155: Find the degree of the following polynomial function:
f(x) = 4(x + 3)(x- 2)2

a. 1
b. 2
c. 3
d. 4
e. None of the others
Answer by aaaaaaaa(138)   (Show Source): You can put this solution on YOUR website!
We need to simplify it first:
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: 4*(x+3)*(x-2)*2 simplifies to 8*x^2+8*x-48
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 4*(x+3)*(x-2)*2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Multiplied numerator integers
It becomes .
Look at .
Expanded term 8%2A%28x-2%29 by using associative property on %28x%2B3%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Expanded term 8%2Ax by using associative property on %28x-2%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes .
Look at .
Expanded term 24 by using associative property on %28x-2%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Eliminated similar terms highlight_red%28+-16%2Ax+%29,highlight_red%28+24%2Ax+%29 replacing them with highlight_green%28+%28-16%2B24%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+8+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!


As the higher exponent is 2, in , the answer is letter b.
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