How would I solve this: Multiply: $(4 + x)(x^2 + 2x +3)$
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This question, as you probably know, requires the use of the distributive property. To use JavaMan's suggestion $$(a + b) \cdot c = a \cdot c + b \cdot c$$
First, distribute the 4. Add the products of 4 and $x^2$, 4 and 2x, 3 and 4.
Then, distribute the x. Add the products of x and $x^2$, x and 2x, 3 and x.
Then all you have to do is add all of the items you have left.
After the distributions, you should have
$4x^2 + 8x + 12 + x^3 + x^2 + 3x =$
$x^3 + 5x^2 +11x + 12$
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