Which polynomial is equivalent to 2x^2 + 3x - 5 + 4x^2 - x?
Practice Questions
Q1
Which polynomial is equivalent to 2x^2 + 3x - 5 + 4x^2 - x?
6x^2 + 2x - 5
2x^2 + 4x - 5
6x^2 + 4x - 5
4x^2 + 2x - 5
Questions & Step-by-Step Solutions
Which polynomial is equivalent to 2x^2 + 3x - 5 + 4x^2 - x?
Correct Answer: 6x^2 + 2x - 5
Step 1: Identify the terms in the polynomial: 2x^2, 3x, -5, 4x^2, and -x.
Step 2: Group the like terms together. The like terms are: 2x^2 and 4x^2 (both are x^2 terms), 3x and -x (both are x terms), and -5 (the constant term).
Step 3: Add the coefficients of the x^2 terms: 2 + 4 = 6, so we have 6x^2.
Step 4: Add the coefficients of the x terms: 3 - 1 = 2, so we have 2x.
Step 5: The constant term remains the same: -5.
Step 6: Combine all the results: 6x^2 + 2x - 5.
No concepts available.
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