Question

What is the simplified form of the expression the quantity x squared plus 10x plus 21 end quantity divided by 4 times the quantity x plus 7 end quantity?

Answer 1

`(x^(2) + 10x + 21)/(x + 7) = ((x+3)(x+7))/(x + 7) = \bf x + 3`

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`x^(2) + 10x + 21 = x^(2) + 3x + 7x + 21 = x(x+3)+7(x+3) = (x+3)(x+7)\\`