Exponents and Polynomials - XYZ Custom Plus

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586Chapter 9 Exponents and PolynomialsC Use the diagram in each problem to help multiply the polynomials. [Example 10]31. (x + 4)(x + 2)xx32. (x + 1)(x + 3)4 x 1x23x 2 + 6x + 8x 2 + 4x + 333. (2x + 3)(3x + 2)2x34. (5x + 4)(6x + 1)3 5x43x6x2130x 2 + 29x + 46x 2 + 13x + 635. (7x + 2)(3x + 4)3x7x36. (3x + 5)(2x + 5)2 3x 52x4521x 2 + 34x + 86x 2 + 25x + 25B Expand and multiply. [Examples 8, 9]37. (x + 3) 2x 2 + 6x + 938. (x + 4) 2x 2 + 8x + 1639. (x + 6) 2x 2 + 12x + 3640. (x + 7) 2x 2 + 14x + 4941. (3x + 2) 29x 2 + 12x + 442. (4x + 5) 216x 2 + 40x + 2543. (2x + 3) 24x 2 + 12x + 944. (5x + 4) 225x 2 + 40x + 1645. (7x + 6) 249x 2 + 84x + 3646. (6x + 7) 236x 2 + 84x + 4947. (4x + 1) 216x 2 + 8x + 148. (3x + 1) 29x 2 + 6x + 149. (x − 5) 2x 2 − 10x + 2550. (x − 4) 2x 2 − 8x + 1651. (2x − 4) 24x 2 − 16x + 1652. (5x − 2) 225x 2 − 20x + 4
9.3 Problem Set587Fill in the following tables.53. 54.x (x + 3) 2 x 2 + 9 x 2 + 6x + 91 16 10 162 25 13 253 36 18 364 49 25 49x (x − 5) 2 x 2 + 25 x 2 − 10x + 251 16 26 162 9 29 93 4 34 44 1 41 1C Simplify each expression by filling in the diagrams and then using the results to find areas. [Example 10]55. (x + 3) 2xx56. (x + 4) 23 xx434x 2 + 6x + 9x 2 + 8x + 1657. (x + 5) 2xx58. (x + 1) 25 xx115x 2 + 2x + 1x 2 + 10x + 2559. (2x + 3) 22x60. (3x + 2) 23 3x22x3x324x 2 + 12x + 99x 2 + 12x + 4
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