y = x^2 + bx +64 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?	Choices
A) -65
B) -64
C) -32
D) 32
E) 64
As the curve cuts the x-axis at (h,0) and (k,0). Therefore h,k are the roots of the quadratic equation.   For the quadratic equation is in the form ofax^2+bx+c=0,   The product of the roots =c/a= 64/1=256 and the sum of the roots =-b/a=-b   64 can be expressed as product of two numbers in the following ways:   1 * 64   2 * 32   4 * 16   The sum of the roots is maximum when the roots are 1 and 64 and the maximum sum is 1 + 64= 
<gadget id="calculator">1 + 64</gadget>
<output>65</output>
65.   The least value possible for b is therefore -65.   -64
<result>B</result>
y = x^2 + bx +64 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?