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  1. Factor x2 + 11x + 24 (1 point)

(x + 6)(x + 4)

(x + 2)(x + 12)

(x + 3)(x + 8)

(x + 1)(x + 11)

  1. Factor 2m2 + 27m + 70 (1 point)

(2m + 7)(m + 10)

(m + 10)(2m + 7)

(2m + 3)(m + 20)

(2m + 7)(m – 10)

  1. Factor g2 – 64 (1 point)

(g – 1)(g + 64)

(g + 8)(g – 8)

(g – 8)(g – 8)

(g + 8)(g + 8)

  1. Factor 49t2 – 9 (1 point)

(7t + 3)(7t + 3)

(7t + 3)(–7t – 3)

(7t + 3)(7t – 3)

7t – 3

  1. The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expression for the width of the field? (1 point)

t – 9

t – 5

Verified Answer :

baabaagreysheep
  1. Your answer is (x + 3)(x + 8) because 8 and 3 add up to 11 and are also factors of 24.

    3. Your answer is (m + 10)(2m + 7), because 7 × 10 = 70 and, when 10 is multiplied by 2 because of 2m, 20 + 7 = 27

    4. This is the difference of two squares because 64 is a square number, so your answer is (g + 8)(g - 8)

    5. Your answer is (7t + 3)(7t - 3)

    6. If you factorise that expression, the width would be the bracket that isn't (t + 5), so:
    (t + 5)(t - 9)
    So the width is t - 9

    I hope this helps!

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