Prove ( x + √2 ) is a factor of (2√2x² + 5x + √2)
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Hence , x+ root 2 is the factors of above polynomial
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Answer:
(x+√2)
=> x = - √2
now,
p(x) = (2√2x^2 + 5x +√2)
p(-√2) = {2√2(-√2)^2 + 5(-√2) +√2}
= (2√2 × 2 - 5√2 + √2)
= 4√2 - 5√2 +√2
= -√2 +√2
= 0
it proves that (x+√2 ) is the factor of (2√2x^2 +5x + √2)
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