Which polynomial does the model represent?
–x³ + 2x² – 3x + 2
• x² + x – 2
• –x² – x + 2
• –x² + x – 2
The polynomial represented by the model is –x³ + 2x² – 3x + 2.
4x^2 + 4 - 5x + x - 2x^2 + 8
Combining like terms, we have:
2x^2 - 4x + 12
So the simplified expression is 2x^2 - 4x + 12.
3x^2 + 5x - 7x + 3 - 5x^2 + 2
Combining like terms, we have:
-2x^2 - 2x + 5
So the simplified expression is -2x^2 - 2x + 5.
what are the coefficients in the polynomial 5x^2 + 2x - 4
The coefficients in the polynomial 5x^2 + 2x - 4 are:
- 5 is the coefficient of the term x^2.
- 2 is the coefficient of the term x.
- (-4) = 4 is the constant term or coefficient.
(m^2 - m - 4) + (m-5)
First simplify each set of parentheses, and then combine like terms by adding:
(m^2 - m - 4) + (m-5)
= m^2 - m - 4 + m - 5 (distribute the addition)
= m^2 - m + m - 4 - 5 (group like terms)
= m^2 - 9
So the simplified expression is m^2 - 9.