The quotient of the polynomial 10x⁶ + 20x⁴ - 15x² by 5x² will be (2x⁴ + 4x² - 3).
A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomials are given below.
10x⁶ + 20x⁴ - 15x² and 5x²
The factor of the polynomial 10x⁶ + 20x⁴ - 15x² will be given as,
10x⁶ + 20x⁴ - 15x² = (5x²) · (2x⁴ + 4x² - 3)
The quotient of the polynomial 10x⁶ + 20x⁴ - 15x² by 5x² will be given as,
⇒ (10x⁶ + 20x⁴ - 15x²) ÷ (5x²)
⇒ [(5x²) · (2x⁴ + 4x² - 3)] ÷ (5x²)
⇒ (2x⁴ + 4x² - 3)
The quotient of the polynomial 10x⁶ + 20x⁴ - 15x² by 5x² will be (2x⁴ + 4x² - 3).
More about the polynomial link is given below.
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