Based on the calculations, the unknown polynomial is equal to 5x.
What is a polynomial?
A polynomial can be defined as a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as:
Since the product (multiplication) of 2x² - 3x + 4 and another polynomial is equal to 10x³ - 15x² + 20, let the unknown polynomial be denoted by P(x). Thus, this is given by this expression:
P(x) × (2x² - 3x + 4) = 10x³ - 15x² + 20
P(x) = (10x³ - 15x² + 20)/(2x² - 3x + 4)
Dividing the two polynomials, we have:
10x³ - 15x² + 20 |2x² - 3x + 4
- 5x
(10x³ - 15x² + 20)
0
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Complete Question:
The product of two polynomials is 10x³ - 15x² + 20. If one of the polynomials is 2x² - 3x + 4. What is the other polynomial?
