When (3x⁴ - 7x³ - 5x² + 19x - 10) is divided by (3x² + 2x - 5), the correct option is C. x² - 3x + 2.
How to get the value?
To divide polynomial, it's important to set up the division problem. In this case, you then divide the first term of the dividend by the first term of the divisor.
Here, the correct value is x² - 3x + 2. To confirm, we can multiply them. This will be:
= (3x² + 2x - 5)(x² - 3x + 2)
= 3x⁴ - 9x³ + 6x² + 2x³ - 6x² + 4x - 5x² + 15x - 10
Collect like terms
= 3x⁴ - 9x³ + 2x³ + 6x² - 6x² - 5x² + 4x + 15x - 10
= 3x⁴ - 7x³ - 5x² + 19x - 10
Learn more about division on:
brainly.com/question/25289437
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