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If (2x^2 + 5x + 3)(3x + 1) = ax^3 + bx^2 + cx + d for all values of x, what is the value of c?
 Jul 14, 2013
 #1
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Is it 14?
 Jul 14, 2013
 #2
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[input]expand( (2x^2 + 5x + 3)(3x + 1) )[/input]

6*x^3+17*x^2+14*x+3
ax^3 + bx^2 + cx + d

a=6
b=17
c=14
d=3


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(2x^2 + 5x + 3)(3x + 1)
(2x^2 + 5x + 3)*(3x)+ (2x^2 + 5x + 3)*(1)
(6x^3+15x^2+9x) + (2x^2 + 5x + 3)
6x^3+17x^2+ 14x+3
 Jul 14, 2013
 #3
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0
14
 Jul 15, 2013

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