Factor x squared plus 35x plus 216?

Answer 1

For this problem, you may want to use the quadratic formula:

x = (-b +or- sqrt(b2-4ac))/(2a)

where a and b are the coefficients in front of the x2 and x terms, and c is the constant term.
In this case,

a = 1
b = 35
c = 216

Now simply plug these values into the quadratic formula stated above.

x = (-35 +or- sqrt(352-4*1*216)) / (2*1)
x = {-8, -27}

These are the zeros of the function, so we can rewrite the expression given as

(x + 8)(x + 27)

Plug the two calculated values of x into the equation above and you will see that the expression is 0 at both points. To check if this is the correct answer, try expanding and see if it matches the original expression.