Question

Divide 3x(5x+3x+2) - (2x2+8-x) by -2+3x.
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Answer 1

Solution :-

→ Dividend = 3x(5x + 3x³ - 2) - (2x² + 8 - x) = 9x³ + 15x² - 6x - 2x² + x - 8 = 9x³ + 13x² - 5x - 8

→ Divisor = (3x - 2)

so, dividing by long division method we get,

3x-2)9x³ + 13x² - 5x - 8(3x² + (19x/3) + (23/9)

9x³ - 6x²

19x² - 5x

19x² - 38x/3

23x/3 - 8

23x/3 - 46/9

(-26/9)

therefore,

→ Quotient = 3x² + (19x/3) + (23/9)

→ Remainder = (-26/9) .

now, we know that,

→ Dividend = Divisor * Quotient + Remainder .

putting all values we get,

→ 9x³ + 13x² - 5x - 8 = (3x - 2)[3x² + (19x/3) + (23/9)] + (-26/9)

→ 9x³ + 13x² - 5x - 8 = 9x³ + 19x² + (23x/3) - 6x² - (38x/3) - (46/9) - (26/9)

→ 9x³ + 13x² - 5x - 8 = 9x³ + 19x² - 6x² + (23x - 38x)/3 - (46 + 26)/9

→ 9x³ + 13x² - 5x - 8 = 9x³ + 13x² + (-15x/3) - (72/9)

→ 9x³ + 13x² - 5x - 8 = 9x³ + 13x² - 5x - 8

→ LHS = RHS .

Learn more :-

इस एक्स इक्वल टू रूट 3 प्लस वन डिवाइडेड बाय टू फाइंड द वैल्यू ऑफ एक्स क्यूब प्लस टू एक्स स्क्वायर माइनस 8 एक्स प्लस 7

https://brainly.in/question/20858452

if a^2+ab+b^2=25

b^2+bc+c^2=49

c^2+ca+a^2=64

Then, find the value of

(a+b+c)² - 100 = ...

https://brainly.in/question/16231132

Answer 2

3x(5x + 3x + 2) - (2x² + 8 - x)

15x² + 9x² + 6x - 2x² - 8 + x

22x² + 7x - 8

Dividend → 22x² + 8x - 8

Divisor → 3x - 2

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3x - 2) 22x² + 8x - 8 (22x/3 + 30/3

22x² - (66x/3)

+ 90x/3 - 8

90x/3 - 60/3

36/3

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Quotient →22x/3 + 30/3 or 22x/3 + 10

Remainder → 36/3 or 12