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Q.

Factorise the given equation


Question Image

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a

Question Image

b

Question Image

c

Question Image

d

None of these 

answer is A.

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Detailed Solution

Concept- Due to its degree 2, the polynomial Question Image is a quadratic polynomial. A polynomial is an expression in which terms are  separated by mathematical symbols. It is made up of variables and coefficients.
Every polynomial with the formula Question Image is, in general, a quadratic polynomial. We use the factorization approach to solve this quadratic polynomial.
Given, Question ImageThe constant term's product with the coefficient of Question Image is 36, and the coefficient of x is 5. Therefore, we require two numbers that, when added together or subtracted, equal 5, and when multiplied, 36. These are the digits 9 and 4. The fact that 9-4=5 and 9×4=36.
Question ImageHence, the correct answer is option 1.
 
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