What is the quotient? 7x^2-3x-9 divided by x-1

ANSWER

EXPLANATION

We want to find the quotient when is divided by x-1

We can quickly perform a synthetic division.

We write out the coefficients of the polynomial

   7     -3     -9

1|         7      4

  7      4       -5

To obtain the top row.When we equate the divisor to zero, we get;

This gives the 1 in the far left.The first two numbers in the last row are the coefficients of the quotient. The last number in the last row is the remainder.Therefore the quotient is and the remainder is -5

Remember this polynomial can be written as:

Dividend= Divisor * Quotient     + Remainder

Therefore Quotient=7x+4

answer: 177/8

step-by-step explanation: