Question

2 (viii) 8(x2-4), 12( x3+8), 36(x2-3x-10)​

Answer 1

Answer:

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g.

Answer 2

Answer:

Factors of 8(x2-4)=2×2×2×(x-2)×(x + 2)

Factors of 12(x3 + 8)

=2×2×3×(x + 2)×(x2-2x + 4)

… ((x3 + 8)= (x + 2)×(x2-2x + 4) from properties)

Factors of 36(x2-3x-10)

Factors of (x2-3x-10)

=(x2-5x + 2x-10)

=x(x-5) + 2(x-5)

=(x + 2)(x-5)

Factors of 36(x2-3x-10)=2×2×3×3×(x + 2)×(x-5)

GCD is the greatest common divisor, which is equal to the product of all the common divisors.

∴the GCD of 8(x2-4),12(x3 + 8),36(x2-3x-10) is 4(x + 2)