Question

Likich of the fourg following is an irreducible factor? 1 22 +5 A) x²-a el) x2-2x+1 13) x² + 4 4+4​

Answer 1

a) x^2 - 9

or, x^2 - 3^2

or, (x+3)(x-3)

Hence, x^2 - 9 is reducible.

b) x^2 + 4x + 4

or, x^2 + 2x + 2x + 4

or, x(x+2) + 2(x+2) = (x+2)(x+2)

Hence, x^2+4x+4 is reducible .

c) x^2 + 5

Not reducible .

d) x^2 + 2x + 1

or, x^2 + x+x+ 1

or, x(x+1) +1(x+1) = (x+1)(x+1)

Hence, x^2 + 2x + 1 is reducible .

Therefore, x^2 +5 is irreducible and C is correct.