SOLUTION: Consider the following polynomial function. f(x)=2x3+3x2−12x+7 Step 1 of 4 : Factor the polynomial completely.

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Question 1138498: Consider the following polynomial function.
f(x)=2x3+3x2−12x+7
Step 1 of 4 : Factor the polynomial completely.
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


step 1:write as , and as

step 2: group

step 3:factor out common

step 4: apply rule square of difference



Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


(1) Substitute x=1 to see if x=1 is a root:



Yes, x=1 is a root. Use synthetic division to divide out the factor x-1.

 1  |  2  3  -12  7
    |     2    5 -7
    +--------------
       2  5   -7  0

The remainder is 0, so x=1 is a root; (x-1) is a factor.



(2) Factor the remaining quadratic by whatever method you know.
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