Factorize- 2x2 - 3 -5x - 5

2x^2 + 3 √(5)x + 5 ∵ 2 × 5 = 10 ∴ 10 = 2 √(5)×√(5) 3 √(5) = 2 √(5)+ √(5) = 2x^2 +2 √(5)x + √(5)x + 5 = 2x (x + √(5)) + √(5) (x + √(5)) = (x + √(5)) (2x + ...

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Byju's Answer

Standard IX

Mathematics

Factorisation of Quadratic Polynomials- Middle Term Splitting

Factorize: 2x...

Question

Factorize:

$2 x^{2} + 3 \sqrt{5} x + 5$

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Solution

$2 x^{2} + 3 \sqrt{5} x + 5 ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} ∵ 2 \times 5 = 10 ∴ 10 = 2 \sqrt{5} \times \sqrt{5} 3 \sqrt{5} = 2 \sqrt{5} + \sqrt{5} \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭ = 2 x^{2} + 2 \sqrt{5} x + \sqrt{5} x + 5 = 2 x (x + \sqrt{5}) + \sqrt{5} (x + \sqrt{5}) = (x + \sqrt{5}) (2 x + \sqrt{5})$

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Similar questions

Q. Solve

2 x^{2} - 5 x + 3 = 0

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3 \sqrt{2 x^{2}} - 5 x - \sqrt{2}

Q. Find whether

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2 x^{2} - 5 x + 3

Q. Factorize it partially

\frac{2 x^{2} - 5 x + 1}{x^{2} (x^{2} - 1)}

Q. Resolve each of the following quadratic trinomial into factor:
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Factorize: 2x2+3√5x+5

2x2+3√5x+5⎧⎪⎨⎪⎩∵2×5=10∴10=2√5×√53√5=2√5+√5⎫⎪⎬⎪⎭=2x2+2√5x+√5x+5=2x(x+√5)+√5(x+√5)=(x+√5)(2x+√5)

Factorize:

$2 x^{2} + 3 \sqrt{5} x + 5$