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Soham Shanbhag
Lv 4
Soham Shanbhag asked in Science & MathematicsMathematics · 10 years ago

A question on polynomials?

Find k so that x² + 2x + k is a factor of 2x^4 + x³ - 14x² + 5x + 6.

2 Answers

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  • Anonymous
    10 years ago
    Favorite Answer

    The other factor must be 2x^2 + ax + b.

    Multiply out (x^2 + 2x + k)(2x^2 + ax + b)

    Compare what you get with 2x^4 + x^3 - 14x^2 + 5x + 6 noting that they must be identical, i.e. the same number of x^3, x^2, x and constant.

  • ?
    Lv 6
    10 years ago

    Factors are (x+3)(x-1)(x-2) (2x+1) , (x+3)(x-1) =x^+2x-3 , k=-3

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