Question

) When p(x) = 9x⁴- 45x³+ 37x² + x +2 is divided by (x - 2) a student can determine the remainder by evaluating p(2). What is the value of p(2)?

Answer 1

Answer:

p(x) = 9x⁴- 45x³+ 37x² + x +2

By evaluating p(2)

p(2) = 9(2)⁴- 45(2)³+ 37(2)² + (2) +2

p(2) = 9(16) - 45(8) + 37(4) + 4

p(2) = 144 - 360 + 148 + 4

p(2) = 296 - 360

p(2) = -64

Hence, p(2) = -64

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