1.

(5x⁴ - 3x³ + 4x² + 2x - 6) ÷ x². What is the quotient and remainder?

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Answer:

Step-by-step explanation:

GIVEN (5x⁴ - 3x³ + 4x² + 2X - 6) ÷ x². What is the quotient and remainder?

So we need to divide a polynomial (more than one term) by a MONOMIAL which has one term.  

So let us divide.

    x^2) 5x⁴ - 3x³ + 4x² + 2x - 6 (5 x^2 - 3 x + 4

            5x⁴ - 3x³ + 4x²

        ------------------------------- By SUBTRACTING we get

                           2 x - 6

After dividing, the quotient will be 5 x^2 - 3 x + 4 and remainder is 2 x - 6



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