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secondary 3 | A Maths
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2x³ + ax² +bx - 30
= (2x-3)(x²+3x-10) = 2x³ + 3x² - 29x - 30
a = 3
b = -29
(ii)
remainder theorem
https://www.cuemath.com/algebra/remainder-theorem/
2x+1 → a = 2;b = 1;-(b/a) = -0.5
2×(-0.5)³ + 3×(-0.5)² - 29×(-0.5) - 30 = -15 (Ans)
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Guessing your teacher used the quotient/remainder method.. useful for some questions and preferred that you understand its use...