Question

Find the value of a if the polynomial p (y)= ay³+9y²+4y-10 is divided by (y-3) leaves a remainder -22

Answer 1

Answer:

Step-by-step explanation:

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_If a value is -5 , then reminder must be -12_

Answer 2

Answer: -105/27 or -3.88

Step-by-step explanation:

p(y) = ay³ + 9y² + 4y - 10

y-3 = 0  => y = +3

Given that when p(y) is divided by y-3 then it will give the remainder as -22, we get

p(3) = a(3³) + 9(3²) + 4(3) - 10 = -22

=> 27a + 81 + 12 - 10 = -22

=> 27a + 83 = -22

=> 27a = -22 - 83

=> 27a = -105

=> a = -105÷27 = -3.88

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