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-

Which polynomial represents the quotient for the division problem shown 2 7 9 3 7 O A 3x 7x 9 o B 3x 4x 2x 1 O c 3x 7x91 10 D 3x2 7x class=

Respuesta :

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:

[tex](3,-7,9,-10)[/tex]

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

[tex]\begin{gathered} 3x^3-7x^2+9x^1-10x^0=3x^3-7x^2+9x-10 \\ \end{gathered}[/tex]

Option C is correct.