University:
Rice University
Course:
MATH 402 | Differential Geometry
Academic year:

2022
Views:

71

Pages:

2
Author:

Amira Hester

MULTIPLYING AND FACTORING POLYNOMIALS Problem Multiply out the binomials. 1. (x + 2)(x + 3) 2. (2s + 3)(3s – 1) 3. (2x – y)(4x – y) 4. (x + 3y)(x – 3y) 5. (q – 3)2 Factor each expression completely. 2 6. 3X – 9X 7. 5L – 10L2 8. r2st + rs2t – rst2 9. 3.6I2R1 – 2.4I2R2 10. e2 – e – 6 11. 2x2 – 3xy – 2y2 12. x2 + 12x + 36 13. 0.1p2 – 4.9 14. 2q2 – 5q – 3 15. 2n2 – 13n – 7 16. The width of a rectangular cabinet is given by (2l + 3) and the length by (4l – 1). Write the expression for the area of the cabinet and multiply out the expression. 17. The current in a circuit is given by I = t – 3 and the voltage by V = 3t + 1. Using the power law P = VI, write the expression for the power in the circuit and multiply out the expression. 1 Solve the problem by factoring or taking square roots. 2 18. x – 9 = 0 19. 2x2 – 8 = 0 20. z2 – 25 = 0 21. 8r2 = 128 22. 8z2 = –5z 23. List the values of a, b, and c for the quadratic equation z2 + 4z = 3. Solve the equation to three significant digits using the quadratic formula. 24. x2 – 3x + 1 = 0 25. The power output P of a generator is given by P = VI – RI2 where V = generator voltage, R = internal resistance, and I = current. Find the current I in amps when P = 16 W, V = 8 V, and R = 1.0 .