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Polynomial: 2×3 – x2 – 3x + 5; Divisor: x + 3
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Polynomial: 2×3 – x2 – 3x + 5; Divisor: x + 3
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Mathematics
7 months
2021-07-25T03:51:31+00:00
2021-07-25T03:51:31+00:00 2 Answers
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Answers ( )
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
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
1
:
Equation at the end of step 1
(((2 • (x3)) – 3×2) – 3x) – 5 = 0
STEP
2
:
Equation at the end of step
2
:
((2×3 – 3×2) – 3x) – 5 = 0
STEP
3
:
Checking for a perfect cube
3.1 2×3-3×2-3x-5 is not a perfect cube
Trying to factor by pulling out : 3.2 Factoring: 2×3-3×2-3x-5
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -3x-5
Group 2: -3×2+2×3
Pull out from each group separately :
Group 1: (3x+5) • (-1)
Group 2: (2x-3) • (x2)
Bad news !! Factoring by pulling out fails :