61. p² + 11p +30 62. w²+10w + 21 63. n² + 19n+48 64. b² + 14b +48 65. a² +25a + 100 66. u²+ 101u + 100 67.x²8x + 12 68. q² - 13q +36 69. y² - 18y + 45 70. m² 13m + 30 71. x² - 8x + 7 72. y² - 5y +6 73.5p - 6+p² 74. 6n - 7+n² 75.8-6x + x² 76. 7x + x² +6 77. x² - 12 - 11x 78. -11 - 10x + x²

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 61,76
**6.2 Factor Trinomials**

Here is a list of trinomials to factor. Each expression is in the form of \(ax^2 + bx + c\). Try to determine the factors for each trinomial:

61. \(p^2 + 11p + 30\)

62. \(w^2 + 10w + 21\)

63. \(n^2 + 19n + 48\)

64. \(b^2 + 14b + 48\)

65. \(a^2 + 25a + 100\)

66. \(u^2 + 101u + 100\)

67. \(x^2 - 8x + 12\)

68. \(q^2 - 13q + 36\)

69. \(y^2 - 18y + 45\)

70. \(m^2 - 13m + 30\)

71. \(x^2 - 8x + 7\)

72. \(y^2 - 5y + 6\)

73. \(5p - 6 + p^2\)

74. \(6n - 7 + n^2\)

75. \(8 - 6x + x^2\)

76. \(7x + x^2 + 6\)

77. \(x^2 - 12 - 11x\)

78. \(-11 - 10x + x^2\)

To successfully factor the trinomials, look for two numbers that multiply to \(c\) and add to \(b\). Adjust the order if necessary to fit the standard quadratic form. Practice formatting the quadratic equations correctly and noticing patterns in factors.
Transcribed Image Text:**6.2 Factor Trinomials** Here is a list of trinomials to factor. Each expression is in the form of \(ax^2 + bx + c\). Try to determine the factors for each trinomial: 61. \(p^2 + 11p + 30\) 62. \(w^2 + 10w + 21\) 63. \(n^2 + 19n + 48\) 64. \(b^2 + 14b + 48\) 65. \(a^2 + 25a + 100\) 66. \(u^2 + 101u + 100\) 67. \(x^2 - 8x + 12\) 68. \(q^2 - 13q + 36\) 69. \(y^2 - 18y + 45\) 70. \(m^2 - 13m + 30\) 71. \(x^2 - 8x + 7\) 72. \(y^2 - 5y + 6\) 73. \(5p - 6 + p^2\) 74. \(6n - 7 + n^2\) 75. \(8 - 6x + x^2\) 76. \(7x + x^2 + 6\) 77. \(x^2 - 12 - 11x\) 78. \(-11 - 10x + x^2\) To successfully factor the trinomials, look for two numbers that multiply to \(c\) and add to \(b\). Adjust the order if necessary to fit the standard quadratic form. Practice formatting the quadratic equations correctly and noticing patterns in factors.
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