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Long Division?

0 votes
Use long division to find the quotient and remainder when
f(x)=-4 x^5 + 8 x^4 - 2 x^3 + 5 x^2 + 4 x - 4
is divided by
g(x)=9 x^2 + 5 x + 7.
asked Nov 4, 2014 in ALGEBRA 2 by anonymous

1 Answer

0 votes

The function is image.

Divide the first term of the dividend by the first term of the divisor -4x5/9x2= -4x3/9

So, the first term of the quotient is -4x3/9. Multiply (9x2+ 5x + 7) by -4x3/9 and subtract.

image

Divide the first term of the last row by firsy term of the divisor (92x4/9)/9x2 = 92x2/81

So,the second term of the quotient is 92x2/81. Multiply (9x2+ 5x + 7) by 92x2/81 and subtract.

image

Divide the first term of the last row by first term of the divisor  (-370x³/81)/9x2 = - 370x/729.

So,the third term of the quotient is (- 370x/729). Multiply (9x2+ 5x + 7) by (- 370x/729) and subtract.

image

Divide the first term of the last row by first term of the divisor (- 301x2/729)/9x2 = -301/6561.

So,the fourth term of the quotient is (-301/6561). Multiply (9x2+ 5x + 7) by (-301/6561) and subtract.

image

Therefore Quotient is

Remainder is image.

answered Nov 5, 2014 by dozey Mentor

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