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3 years ago

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

Mathematics

2 answers:

solniwko [45]3 years ago

8 0

Answer:

2x² + 5x – 18 Remainder 59

Step-by-step 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

Usimov [2.4K]3 years ago

3 0

Answer:

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)

Step-by-step explanation:

STEP

Equation at the end of step 1

(((2 • (x3)) - 3x2) - 3x) - 5 = 0

STEP

Equation at the end of step

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

STEP

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 :

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