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Daily 10

Daily 10. Day 1. 1. Find the value of ( x + 2) 4 using Pascal’s triangle and the binomial theorem. 4x 4 – 6 x 3 – 4 x 2 + 8 x + 16 x 4 – 30 x 3 – 16 x 2 + 56 x x 4 + 8 x 3 + 24 x 2 + 32x + 16 x 4 + 8x + 16.

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Daily 10

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  1. Daily 10 Day 1

  2. 1. Find the value of (x + 2)4 using Pascal’s triangle and the binomial theorem. • 4x4 – 6x3 – 4x2 + 8x + 16 • x4 – 30x3 – 16x2 + 56x • x4 + 8x3 + 24x2 + 32x + 16 • x4 + 8x + 16

  3. 2. The volume of a rectangular prism is V= -2n3 – 8n2 + 10n. The height of the prism is h = -2n. Find the dimensions (length and width) of the base of the prism? A. (n – 5)(n + 1) B. (n + 5)(n – 1) C. (n + 2)(n + 3) D. (n – 2)(n – 3)

  4. Answers: • C MM1A2.d, level 1 • B MM1A2.g, level 2

  5. Daily 10 Day 2

  6. 1. Which is one of the correct factors of:x2 – 3x – 28? A. (x + 7) B. (x + 2) C. (x + 4) D. (x – 14)

  7. 2. If the area of a square is A=x2 + 10x + 25, find its perimeter. • x + 5 • 4x2 + 40x + 100 • 4x + 20 • 2x + 10

  8. Answers: • C MM1a2.f, level 1 • C MM1A2.g, level 2

  9. Daily 10 Day 3

  10. 1. Which expression is equivalent to12x5 + 15x3 – 27x 3x ? A. 4x5 + 5x2 – 9x B. (2x2 – 3)(2x2 + 3) C. 9x5 + 12x2 – 24x D. 4x4 + 5x2 – 9

  11. 2. Find the value of the second term of (x – y)5 using Pascal’s triangle and the binomial theorem. • 10x5 • -5x4 y • 5x4 y • -10xy4

  12. Answers: • D MM1A2.c, level 1 • B MM1A2.d, level 2

  13. Daily 10 Day 4

  14. 1. Which is the completely factored form of 3x3 – 12x + 2x2 – 8 ? • (3x + 2)(x2 – 4) • (3x – 12)(2x – 8) • (3x + 2)(x - 2)(x + 2) • 3x(x2 – 4) + 2(x2 – 4)

  15. x + y • A = 2x + 2(x + y) • A = x2 + (x + y)2 • A = 2x(x + y) • A = x(x + y) x

  16. Answers: • C MM1a2.f, level 1 • D MM1A2.g, level 1

  17. Daily 10 Day 5

  18. 1. Simplify. x2 + 3x – 18 x2 - 9 • x + 2 • x + 6 x + 3 • x + 6 x – 3 • 3x - 2

  19. Subtract:(4x3 – 12x2 + 9x – 4) – (x3 – 3x + 9) • 5x3 – 15x2 + 18x – 4 • 3x3 – 12x2 + 12x – 13 • 5x3 – 15x2 + 18x – 4 • 4 – 12x2 + 6x + 5

  20. Answers: • C MM1A2.c, level 1 • B MM1a2.c, level 1

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