What is the factored form of the following expressions?
d^2 + 16d + 63
To find the factored form of the expression "d^2 + 16d + 63", we need to determine two binomials that, when multiplied, will give us the original expression.
First, we need to decompose the constant term 63 into two numbers that multiply to 63 and add up to the coefficient of the middle term, 16. The numbers that satisfy these conditions are 7 and 9.
The expression can be factored as: (d + 7)(d + 9)