After going through this module, you are expected to prove the Remain- der Theorem and the Factor Theorem. - The expression ax2 + bx + c = 0, where a, b, and c are real numbers has no meaning unless you replace the variable x with a number. For in- stance, you are given this statement the area of the lot is 5x2 + 7x - 2 m2", can you tell us how big is the lot? However, if the value of x is 10, you can find the value of the area by substituting to x. 5(10)2 + 7(10) - 2 = 568 . There- fore the area of the lot is 568 m2. Learning Task 1. Perform what is asked. 1. Evaluate 3x4 + 2x2 - 5x + 1 when x = 3202 2. What is the remainder if x3 + 2x2 - 4x + 3 is divided by (x - 3)? 3. Given P(x) = 2x3 + 5x2 - 3, find P(-1). 4. If f(x) = x3 + 4x2 + 3x - 2, what will be the value of f(x) at x = 3? 5. Use synthetic division to find the remainder when (5x2 - 2x + 1) is divided by (x + 2).​