Question

f(x)2x^4+3x^3-13x^2-38x-2,g(x)x^2+3x+2 By division method....​

Answer 1

Answer:

we have to obtain all other zeros of the polynomial x⁴ + 2x³ - 13x² - 38x - 24, if two of its zeros are -1 and -2.

here, -1, -2 are zeros of x⁴ + 2x³ - 13x² - 38x - 24.

so, (x + 1) and (x + 2) are factors of x⁴ + 2x³ - 13x² - 38x - 24 .

so, (x + 1)(x + 2) or x² + 3x + 2, is also a factor of x⁴ + 2x³ - 13x² - 38x - 24 .

so, on dividing x⁴ + 2x³ - 13x² - 38x - 24 by x² + 3x + 2 we will get another factor.

x² + 3x + 2)x⁴ + 2x³ - 13x² - 38x - 24 ([x² - x-12]

x⁴ + 3x³ + 2x²

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-x³ - 15x² - 38x

- x³ - 3x² - 2x

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