show solution at B.

2. Find k so that x - 2 is a factor of 3x3+ 10x - 27k - 10 3. Find k so that x + 4 is a factor of x? - kx + 8 What's More A. Tell whether each statement is True or False. Write True or False. 1. x - r is a factor of P(x) if and only if P (r) = 0 2. x - 1 is a factor of 2x3 - x? + 2x - 3 3. If the remainder of a given polynomial expression is 0, then (x -r) is NOT a factor of P(x). B. Use the Factor Theorem to determine whether the given binomial of the form (x-r) is a factor of the given polynomial. If it is not, give the remainder when P(x) is divided by (x-r). Write Factor or Not a Factor. 1. x 1; 3x3 + 5x2 + 4x + 1 2. x + 2; 2x3- 11x2 - 8x + 44 3. x + 1; 6x3 - 8x3 + 3x + 7 4. x + 3; x2-3x - 18 C. The proof is a sequence of the Remainder Theorem. Fill in the blanks to complete the statement. 1. x - r is a factor of P(x) if and only if the remainder R of P(x) + (x-r) is_ 2. By the remainder theorem, R = 0 if and only if 3. Thus, (x-r) is a factor of P(x) if and only if D. Multiple Choice. Choose the letter of the best answer. 1. If P (-2) = 0, which of the following statements is true about P(x)? A. P (0) = -4 C. 2 is root of P(x) = 0 B. P(x) = 0 D. x+2 is a factor of P(x) 13