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Distributive Property: x(3x^2 - 5x + 8)

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1 Answer

When you distribute a constant, you multiply it. Here, it's to each value within the parentheses. So:

x(3x2 - 5x +8) =  3x2(x) - 5x(x) + 8(x)

When multiplying unknown variables (like 'x'), the product is that variable raised to the sum (addition) of their power.

For example: x3(x2) = x3+2 = x5  ,  or: y5(y4) = y5+4 = y9

Also, a variable with 'no exponent' actually has an exponent of 1. So, x = x1.

For example: x3(x) = x3+1 = x4

To finish your question,

3x2(x) - 5x(x) + 8(x) = 3x2+1 - 5x1+1 + 8x = 3x3 - 5x2 + 8x

 

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