Question

Polynomial: 2x3 – x2 – 3x + 5; Divisor: x + 3

Answer 1

2x² + 5x – 18 Remainder 59

Explanation:

2x³ – x² – 3x + 5 ÷ x + 3

2x² + 5x – 18

x + 3 √ 2x³ – x² – 3x + 5

– 2x³ – 6x²

0 + 5x² – 3x + 5

– 5x² + 15x

0 – 18x + 5

– –18x –54

0 + 59

2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59

Answer 2

x= 5/2= 2.500

x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)

x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)

Explanation:

STEP

1

:

Equation at the end of step 1

(((2 • (x3)) - 3x2) - 3x) - 5 = 0

STEP

2

:

Equation at the end of step

2

:

((2x3 - 3x2) - 3x) - 5 = 0

STEP

3

:

Checking for a perfect cube

3.1 2x3-3x2-3x-5 is not a perfect cube

Trying to factor by pulling out : 3.2 Factoring: 2x3-3x2-3x-5

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -3x-5

Group 2: -3x2+2x3

Pull out from each group separately :

Group 1: (3x+5) • (-1)

Group 2: (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :