What is the first term of the quotient 4x4−16x3−17x2−13x−6÷x−5 ?(1 point) Responses x3 x cubed 4 4 4x2 4 x squared 4x3

Answer 1

To find the first term of the quotient \( \frac{4x^4 - 16x^3 - 17x^2 - 13x - 6}{x - 5} \), we can use polynomial long division.

1. Divide the leading term of the dividend \( 4x^4 \) by the leading term of the divisor \( x \): \[ \frac{4x^4}{x} = 4x^3. \]

2. Therefore, the first term of the quotient is \( 4x^3 \).

So the answer is \( 4x^3 \).