SOLUTION: Hello, I am working on a polynomial problem and am not sure if I answered it incorrectly. Is the product of 8x+3 multiplied by 3x-2 22x+2? Thank you!

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Question 1153934: Hello,
I am working on a polynomial problem and am not sure if I answered it incorrectly.
Is the product of 8x+3 multiplied by 3x-2 22x+2?

Thank you!

Found 2 solutions by MathLover1, math_helper:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!





Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

No, it is not.
(8x+3)(3x-2) =

Recall (c+d)*a = ac+ad by the distributive property of multiplication.
Now if a=e+f you get
(c+d)(e+f) = (c+d)*a = ca + da = c(e+f) + d(e+f) = ce + cf + de + df (some use the mnemonic FOIL to remember this: First, Outer, Inner, and Last.)

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