Question

find the factore of cubic polynomial of 4xcube+8xsquare+x-3=0​

Answer 1

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Find the factors of the cubic polynomial :

4x³ + 8x² + x - 3 = 0

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Factors are (4x² - 1),(x + 2),(-x + 3)

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4x³ + 8x² + x - 3 = 0

4x²(x + 2) - 1(-x + 3) = 0

(4x² - 1)(x + 2)(-x + 3) = 0

4x² - 1 = 0 ; x + 2 = 0 ; -x + 3 = 0

4x² = 1 ; x = -2 ; -x = -3

x² = ¼ ; x = -2 ; x = 3

x = ½ ; x = -2 ; x = 3