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3 years ago

Find quotient and reminder of 4x³-12x²+15x-5÷2x-1

Mathematics

1 answer:

Firdavs [7]3 years ago

7 0

Answer:

The quotient is 2x² - 5x + 5, while the remainder is 0

Step-by-step explanation:

Given polynomial function;

4x³-12x²+15x-5 and a factor of 2x - 1

The quotient and remainder of the polynomial is calculated using the long division method;

2x² - 5x + 5

------------------------

2x - 1 √ 4x³-12x²+15x-5

- (4x³ - 2x²)

----------------------------

-10x² + 15x - 5

- ( -10x² + 5x)

--------------------------------

10x - 5

- (10x - 5)

-----------------------------------------

Therefore, the quotient is 2x² - 5x + 5, while the remainder is 0.

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Find quotient and reminder of 4x³-12x²+15x-5÷2x-1​

Find quotient and reminder of 4x³-12x²+15x-5÷2x-1