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4x^3 +5x+10 divided by 2x+3 equals

2 Answers

9 votes

Explanation:

step 1. what is the question? simplify the following expression (4x^3 + 5x + 10)/(2x + 3)? let's simplify with division.

2x^2 + 3x - 2

_________________

step 2. 2x + 3. / 4x^3 + 5x + 10

4x^3 + 6x^2

6x^2 + 9x

-4x + 10

-4x - 6.

R16

step 3. the answer is 2x^2 + 3x -2 R16 or 2x^2 + 3x -2 + 16/(2x + 3).

User Turiyag
by
3.6k points
2 votes

Answer:

Explanation:

___2x²_- 3x_+ 7____________

2x + 3 I 4x³ + 0x² + 5x + 10 1) 4x³ ÷ 2x = 2x²

4x³ + 6x² (2x + 3)*2x² = 2x * 2x² + 3*2x²

- - = 4x³ + 6x²

-6x² + 5x 2) -6x²÷ 2x = -3x

-6x² -9x (2x + 3)*(-3x) =2x*(-3x) +3*(-3x)

+ + = -6x² - 9x

14x + 10 3) 14x ÷ 2x = 7

14x + 21 (2x + 3) *7 = 14x + 21

- -

-11

Quotient = 2x² - 3x + 7

Remainder = -11

User Yejin
by
3.0k points