Please Answer With Solutions Po

PLEASE ANSWER WITH SOLUTIONS PO

 

Answer:

1) Divisor: x - 1

Dividend: 5x³ + 3x - 8  

Quotient: 5x² + 5x + 8

2.) Divisor:  x + 2

Dividend: x⁴ + 5x³ + 2x² + 7x+ 30

Quotient: x³ + 3x² - 4x + 15

3.) Divisor: x - 3

Dividend: 2x³ - 54

Quotient: 2x² + 6x + 18

4.) Divisor:  x + 4

Dividend: -3x³ + x² +  - 208

Quotient: -3x² + 13x - 52

5.) Divisor:  x - 5

Dividend: 2x³ + x² - 7x - 240

Quotient: 2x² + 11x + 48

Step-by-step explanation:

For the divisor, change the sign of the number of the leftmost.

In number 1, its +1  ⇒  x -1

For the dividend, the first row are the numerical coefficients.  "0" is just a place holder for missing exponents a term in descending order. The last number is the constant of the polynomial.

In number 1, the coefficients are: 5, 0, 3 and the last number -8 is the constant of the polynomial.

Write the polynomial:   5x³ + 0x² + 3x - 8

Standard: 5x³ + 3x - 8    (do not include the term with 0 coefficient.

The quotient is the last or bottom row. Same principle as the dividend.


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