3 years ago

What is the maximum product of two numbers whose sum is 13? what numbers yield this product?

Mathematics

1 answer:

True [87]3 years ago

7 0

The maximum product is 42. Numbers 6 and 7 yield this product.

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Factor x3 + 3x2 + 2x completely.<br> x(x2 + 3x + 2)<br> x(x + 1)(x + 2)<br> x(x - 1)(x - 2)<br> DONE

Natasha2012 [34]

$\text{To factor out the expression, all of the numbers have to have the same}\\\text{amount of variables}\\\\\text{You would see that in the expression}\,\, x^3 + 3x^2 + 2x\,\,\text{they all}\\\text{have "x"}\\\\\text{Factor out x:}\\\\x^3 + 3x^2+2x\\\\x(x^2+3x+2)\\\\\text{Factor}\,\, x^3 + 3x^2+2x\\\\x(x+1)(x+2)\\\\\boxed{\text{Answer:}\,x(x+1)(x+2)}}$