Q: How do you factor 24m2 - 32m plus 8?

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It's not very scientific, but I usually solve these things with a mixture of common sense and trial and error. Call it educated guessing. The 3 in 3m2 only has two factors, so your brackets will start out with 3m and m. (3m )(m ) All of the operational signs are pluses. The brackets will have them too. (3m + )(m + ) Now you're looking for factors of 64 that will solve the equation. 64 only has four factor pairs, so it won't take long to try them all. 64 and 1 won't work. 32 and 2 won't work. 16 and 4 won't work. (3m + 8)(m + 8) Check it using the FOIL method. (First, Outside, Inside, Last) 3m x m = 3m2 3m x 8 = 24m 8 x m = 8m (24m + 8m = 32m) 8 x 8 = 64 (3m + 8)(m + 8) = 3m2 + 32m + 64. It checks.

(x+1)(x+8)

8(x + 1)

35x2 - 38x + 8

(b + 8)(b + 4)

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It's not very scientific, but I usually solve these things with a mixture of common sense and trial and error. Call it educated guessing. The 3 in 3m2 only has two factors, so your brackets will start out with 3m and m. (3m )(m ) All of the operational signs are pluses. The brackets will have them too. (3m + )(m + ) Now you're looking for factors of 64 that will solve the equation. 64 only has four factor pairs, so it won't take long to try them all. 64 and 1 won't work. 32 and 2 won't work. 16 and 4 won't work. (3m + 8)(m + 8) Check it using the FOIL method. (First, Outside, Inside, Last) 3m x m = 3m2 3m x 8 = 24m 8 x m = 8m (24m + 8m = 32m) 8 x 8 = 64 (3m + 8)(m + 8) = 3m2 + 32m + 64. It checks.

The GCF is 8. 8(m + n)

(x + 8)(x + 1)

8(6x+1)

(x+1)(x+8)

8(x + 1)

(8 + 3v)(8 + 3v) or (8 + 3v)2

(x + 5)(x + 8)

The greatest common factor (GCF) is 4.

x2 + 6x + 8 = (x + 4)(x + 2)

3X + 8You don't factor this as there are no common factors.

(d - 8)(d - 1)