x-1 1. Which of the following are polynomials? a) 3x2 2x + 1 b) Vx 3 c) x2 2xy + y2 d) x2+2 2. Given the polynomial 6x4y2 3xy3 what is the degree of the first term? The second term? The whole polynomial? 3. What is the degree of the polynomial 100 ? 4. Subtract: x2 - 5x + 4 from 5x2 - 6 5. Multiply (2x - 3)(2x + 3x 2) 6. Perform the indicated operation and simplify: a) m- {m-[m-(m-1)]} b) (3u - 2v)2 (2u - 3v)(2u +3v) c) (2m - n) 3 7. Factor out, relative to the integers, all factors common to all terms: a) 3x y - 6x y2 - 3xy3 b) 3y(2y + 5) + 2(2y + 5) 8. Factor completely, relative to the integers, by grouping: a) 2x2 + 6x + 5x + 15 b) 2pr + ps - 6qr - 3qs 9. Factor each polynomial, if possible, using integer coefficients: a) x2 - 8x + 12 b) x2 + 2x + 5 c) 2x2 + 7xy - 4y2 d) 4x2 15xy - 4y2 10.Factor completely relative to the integers. If a polynomial is prime relative to the integers, say so.: a) 4x2 - 12xy +9y2 b) x2 16y2 c) x3 - 1 d) x3 + y3 e) 4x2 + 9 f) 2x2 + x - 3 g) 3x3 - 6x2 + 15x