Let 2 integers that differ by 7 <span>are x , x+7 </span> let the product of the <span>2 integers that differ by 7 is y </span><span> </span> <span>∴ y = x(x+7) = x² + 7x </span><span> </span> <span>By graphing y = x² + 7x ⇒⇒⇒ see the attached figure </span> There is a minimum point at x = -3.5 which give y = -12.25 ∵ The product of two integers will be an integer number So, the nearest integer number to the minimum value = -12
∴ <span>The smallest possible value for the product of 2 integers that differ by 7 is (-12) </span>
have you tried referring to the back of your textbook lots of them have eoc type questions in the back and I'm sure there are online pfds of algebraic eco practices