1.

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Answer»

If the POLYNOMIALS az³ + 4z² + 3z - 4 = 0 and z³ - 4Z + a = 0 leaves the same REMAINDER when divided by z - 3, FIND value of a

z - 3 = 0
z = 3

substitute z in both polynomials
both polynomials leaves same remainder so equate both equation
so,
a(3)³ + 4(3)² + 3(3) - 4 = (3)³ - 4(3) + a
27a + 36 + 9 - 4 = 27 - 12 + a
27a + 41 = 15 + a
27a - a = -41 + 15
26a = - 26
a = -1

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