Factorise X square + 3 root 2 X + 4
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Answer:
x²+3√2x+4 = (x+2√2)(x+√2)
Explanation:
Given quadratic polynomial:
x²+3√2x+4
Splitting the middle term, we get
= x² + 2√2x+√2x+4
= x²+2√2x+√2x+(√2×√2)×2
= x(x+2√2)+√2(x+2√2)
= (x+2√2)(x+√2)
Therefore,
x²+3√2x+4 = (x+2√2)(x+√2)
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