Suppose f(x)=x^2+3x-2 . Compute the following: A.) f(-5)+f(2)=-87 B.) f(-5)-f(2)=77

To solve this problem, we need to compute the values of $f(-5)$ and $f(2)$ and then use them to evaluate the given expressions.<br /><br />Given: $f(x) = x^2 + 3x - 2$<br /><br />A.) $f(-5) + f(2)$<br /><br />Step 1: Compute $f(-5)$<br />$f(-5) = (-5)^2 + 3(-5) - 2 = 25 - 15 - 2 = 8$<br /><br />Step 2: Compute $f(2)$<br />$f(2) = 2^2 + 3(2) - 2 = 4 + 6 - 2 = 8$<br /><br />Step 3: Evaluate $f(-5) + f(2)$<br />$f(-5) + f(2) = 8 + 8 = 16$<br /><br />Therefore, the correct answer is A.) $f(-5) + f(2) = 16$<br /><br />B.) $f(-5) - f(2)$<br /><br />Step 1: We already computed $f(-5) = 8$ and $f(2) = 8$ in the previous steps.<br /><br />Step 2: Evaluate $f(-5) - f(2)$<br />$f(-5) - f(2) = 8 - 8 = 0$<br /><br />Therefore, the correct answer is B.) $f(-5) - f(2) = 0$