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Question 1

5. Question 1. 11. 3. Find the degree of each monomial. –4 t 5 22 a 4 b 7 – 8 mn 2 10 a 2 b 3. 5. 14n 3 + 13. Question 2. Simplify each sum or difference. (4 n 3 + 12) + (10 n 3 + 1 ) (5 y 2 + 3 y – 6) – (2 y 2 – 5 y + 3). 3y 2 + 8y – 9. 10t 4. Question 3.

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Question 1

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  1. 5 Question 1 11 3 Find the degree of each monomial. –4t5 22a4b7 –8mn2 10a2b3 5

  2. 14n3 + 13 Question 2 Simplify each sum or difference. (4n3+ 12) + (10n3 + 1) (5y2+ 3y – 6) – (2y2 – 5y +3) 3y2 + 8y – 9

  3. 10t4 Question 3 Simplify each sum or difference. t4 + 9t4 (3n2 – 4n + 8) – (–4n2 + 5n) 7n2 – 9n + 8

  4. Question 4 The perimeter of a triangle is 12b + 5. Two sides have the following lengths: 4b and 3b + 15. What is the length of the third side? 5b – 10

  5. 10w3 + 30w2 Question 5 -15p4 – 3p3+ 21p2 Simplify each product. 5w(2w2+ 6w) –3p2(5p2 + p –7) 2w(w – 7) 2w2- 14w

  6. 4n(3n2 + 6n – 9) (t + 1)(t + 6) f. (2n – 5)(n – 3) 12n3 + 24n2 – 36n Question 6 t2 + 7t + 6 2n2 – 11n + 15

  7. Question 7 A square has side length (7x – 2) in. What is the area of the square? 49x2 – 28x + 4

  8. Question 8 A rectangle has a length of (2x + 1) and a width of (3x + 5). What is the area of this rectangle? 6x2 + 13x + 5

  9. Question 9 Identify this polynomial. 3x2 + 5x – 9 Quadratic Trinomial

  10. Question 10 Simplify each product. (4x + 5)(x +3) 4x2 + 17x + 15 (2x – 9)(5x +4) 10x2– 37x – 36

  11. Question 11 Simplify each product. (5x –3)2 25x2 – 30x + 9

  12. Question 12 Write the missing value in each trinomial. s2+ 14s + 33 = (s + 3)(s+ ?? ) 11 c2– 9c + 14 = (c – 2)(c– ?? ) 7

  13. Question 13 Simplify each product. (j + 9)(j – 9) j2 - 81 (6t2+ 11)(6t2 – 11) 36t4- 121

  14. Question 14 Factor each expression. 3h2 + 32h + 20 (3h + 2)(h + 10) b. 81x2– 1 (9x + 1)(9x – 1)

  15. Question 15 Factor each expression. 7y2+ 11y – 6 (7y – 3)(y + 2) 10x2– 53x –11 (5x + 1)(2x – 11) g2+ 17g + 72 (g + 8)(g + 9)

  16. Question 16 The area of a rectangular classroom is given by the trinomial a2 – 4a – 21. The length of the rectangle is a + 3. What is the expression for the width of the classroom? a - 7

  17. Question 17 The area of a square mural is 144x2 – 72x + 9. What is the length of one side of the mural? 12x – 3

  18. Question 18 The area of a rectangular curtain is 5x2 + 42x + 16. The width of the curtain is 5x + 2. What is the length of the curtain? x + 8

  19. Question 19 Factor completely: 12n3 – 3n2 + 16n – 4 3n2(4n – 1) + 4(4n – 1) (3n2 + 4)(4n – 1)

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