Question

Divide 3 X square + 4 x cube minus 8 minus 2 X by x minus 4

1)what is the coefficient of xsq. in thr quotient?
2)what kind of polynomial is the remainder 3)whats the degree of quotient
4)how many zeros does the remainder have​

Answer 1

• See below

Explanation:

Divide:

• 3x² + 4x³ - 8 - 2x by x - 4

Rewrite and perform the operation:

(4x³ + 3x² - 2x - 8) ÷ (x - 4) = 4x² + 19x + 74 remainder 288

4x³ - 16x²

19x² - 2x

19x² - 76x

74x - 8

74x - 296

288

Answers:

• 1) The coefficient of x² is 4
• 2) The remainder is a constant
• 3) The quotient is of degree 2
• 4) The remainder has no zeros

Answer 2

• See the picture attached below.

1) The coefficient of x² in the quotient is 4.

2) The remainder is 288 which is a constant polynomial.

3) The highest order in the quotient is x². So the degree is 2.

4) The remainder which is 288, does not have any zeros.