For Exercises 25-26, use the factor theorem to determine if the given binomial is a factor of the polynomial. 25. f(x) = x' + 4x² + 9x + 36 а. х + 4 b. х — Зі 26. f(х) — х — 4х — 46 b. х — (2 — 5V2) а. х + 2

9.(T) Decide whether each polynomial has (x + y) as one of its factors. Justify your decision.(2.5) а) ху-Зх^2y-4ху+ бх^2у b) х^5- х^Зу^2 +x3 -ху^2

In Exercises 66-90, factor completely, or state that the polynomial is prime. 66. 15x? + 3x 67. 12x4 – 3x² 68. 20x4 – 24xr³ + 28x2 – 12x 69. х3 15x + 26x 70. -2y4 + 24y3 – 54y? 71. 9х2 — 30х + 25 72. 5x2 – 45 73. 2x3 – x? – 18x + 9 74. 6x2 – 23xy + 7y 75. 2y3 + 12y2 + 18y 76. x2 + 6x + 9 – 4a? 77. 8x3 – 27 78. x5 79. x* - 6x? + 9 80. x2 + xy + y? 81. 4а3 + 32 82. x4 - 81 83. ах + 3bx - ау — 3bу 84. 27x – 125y 85. 10x³y + 22x²y – 24xy 86. 6x + 13x³ 87. 2x + 10 + x²y + 5xy 8. уз + 2у2 — 25у - 50 89. ав — 1 90. 9(x – 4) + y2(4 – x) 3

Factor the polynomial.