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If (x + 2)(3x^2 + x + 5) = Ax^2 + Bx^2 + Cx + D, what is the value of A + B - C - D?

 Jun 23, 2022

Best Answer 

 #1
avatar+1224 
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(x + 2)(3x^2 + x + 5)

= (x)(3x^2 + x + 5) + 2(3x^2 + x + 5)

= (3x^3 + x^2 + 5x) + (6x^2 + 2x + 10)

= 3x^3 + 7x^2 + 7x + 10

 

I'm assuming the question is a typo and you want to find Ax^3 + Bx^2 + Cx + D. It shouldn't be too hard to match up the coefficients to find the answer.

 Jun 23, 2022
 #1
avatar+1224 
+1
Best Answer

(x + 2)(3x^2 + x + 5)

= (x)(3x^2 + x + 5) + 2(3x^2 + x + 5)

= (3x^3 + x^2 + 5x) + (6x^2 + 2x + 10)

= 3x^3 + 7x^2 + 7x + 10

 

I'm assuming the question is a typo and you want to find Ax^3 + Bx^2 + Cx + D. It shouldn't be too hard to match up the coefficients to find the answer.

CubeyThePenguin Jun 23, 2022

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