Question

Which polynomial represents the quotient for the division problem shown? 2 7 9 3 -7 O A. 3x² - 7x + 9 o B. 3x² - 4x + 2x - 1 O c. 3x² - 7x²+91- 10 D. - 3x2 + 7x-

Answer 1

The division problem has divisor as the first digit and the remaining digits of the first row are the coefficients of the dividend or the polynomial and the third row represents the quotient

Hence the coefficient form of the quotient of the polynomial is given by:

`(3,-7,9,-10)`

Convert the coefficient form into the polynomial by increasing the power of x starting with x^0 from right to left to get:

`\begin{gathered} 3x^3-7x^2+9x^1-10x^0=3x^3-7x^2+9x-10 \\ \end{gathered}`

Option C is correct.