Question

Fill in each blank so that the resulting statement is true

Answer 1

We have a synthetic division of polynomials.

The divisor is 2x+3.

In the last step, (2x+3) was multiplied by 8 resulting in 16x+24.

This has to be substracted from the remaining of the polynomial, that is 16x+5.

If we perform this substraction we obtain:

`\begin{gathered} (16x+5)-(16x+24) \\ 16x+5-16x-24 \\ (16-16)x+5-24 \\ 0x-19 \\ -19 \end{gathered}`

Answer:

Completing the step designated by the question mark ("?") obtains -19.

Thus, the quotient (the result from dividing the polynomial 6x²-7x+5 by the divisor 2x+3) is 3x-8 and the remainder is -19.

The answer to this long division problem is (6x^2-7x+5)/(2x+3) = 3x-8-19/(2x+3)