Question

What is the solution to the division problem below (3x^2 11x-4)/(x 4)

Answer 1

3x -1

Explanation:

You want the quotient when (3x² +11x -4) is divided by (x +4).

Synthetic division

When the divisor is a linear binomial, the polynomial division is conveniently carried out using synthetic division. The "entry in the left part of the table" referred to in the attachment is the zero of the binomial divisor. Here, that is -4, the value of x that makes (x +4) = 0.

The quotient is 3x -1.

Calculator

Some graphing calculators are equipped with the capability to manipulate expressions involving variables. The second attachment shows one of those.

`\boxed{(3x^2+11x-4)/(x+4)=3x -1}`

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