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Question

Resolve each of the following quadratic trinomial into factor:
11x2 − 54x + 63

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Solution

The given expression is 11x2-54x+63. (Coefficient of x2=11, coefficient of x=-54 and constant term=63)We will split the coefficient of x into two parts such that their sum is -54 and their product equals the product of the coefficient of x2 and the constant term, i.e., 11×63=693.Now, (-33)+(-21)=-54 and (-33)×(-21)=693Replacing the middle term-54x by -33x-21x, we have:11x2-54x+63= 11x2-33x-21x+63 =(11x2-33x)+(-21x+63) =11x(x-3)-21(x-3) =(11x-21)(x-3)

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