Question

Factors of x2+3root2x+4

Answer 1

x² + 3√2x + 4
= x² + 2√2x + √2x + 4
= x( x + 2√2) + √2(x + 2√2)
=(x + √2)(x + 2√2)

hence, (x + √2) and ( x + 2√2) are factors of given expressions.

Answer 2

(x + √2) and ( x + 2√2) are factors of given expressions.