Which polynomial does the model represent?
A white square, two white rods, one black rod, one white unit block and three black unit blocks are shown.
A. –x³ + 2x² – 3x + 2
B. x² + x – 2
C. –x² – x + 2
D. –x² + x – 2
It is impossible to determine which polynomial the model represents without further information or context.
For questions 2 and 3, simplify each polynomial.
3x2 + 6 – 2x + 5x – 4x2 + 9
A. –x2 + 3x + 15
B. 7x2 + 3x + 3
C. x2 – 3x + 15
D. –x2 + 7x + 15
3x^2 - 4x^2 + 5x + (-2x) + (6 + 9) simplifies to:
-x^2 + 3x + 15
Therefore, the answer is A. -x^2 + 3x + 15.
For questions 2 and 3, simplify each polynomial.
3x^2 + 6 – 2x + 5x – 4x^2 + 9
A. –x2 + 3x + 15
B. 7x2 + 3x + 3
C. x2 – 3x + 15
D. –x2 + 7x + 15
3x^2 - 4x^2 + 5x - 2x + 6 + 9 can be simplified by combining like terms:
=x^2 + 3x + 15
Therefore, the answer is C. x^2 - 3x + 15.
4x^2 + 8x – 11x + 6 – 5x^2 + 2
A. –x^2 – 3x + 8
B. –x^2 + 3x + 8
C. x^2 – 3x + 8
D. x^2 + 3x + 8
Starting with 4x^2 - 5x^2 + 8x - 11x + 6 + 2:
=-x^2 - 3x + 8
Therefore, the answer is A. -x^2 - 3x + 8.
What are the coefficients in the polynomial 4x² + 3x – 3?
A. 4, –3, –3
B. 4, 3
C. 4, 3, 3
D. –4, –3
The coefficients in the polynomial 4x² + 3x - 3 are 4, 3, and -3.
Therefore, the answer is A. 4, -3, -3.
Add or subtract.
(m^2 – m + 3) + (m – 1)
A. m^2– m – 2
B. m^2 + 2
C. m^2 – 2
D. m^2 + m + 2