Maths-
General
Easy

Question

Factor the polynomial as the product of binomials.
x squared plus x plus 1 fourth

hintHint:

using the formula a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared factorize the given expression.

The correct answer is: (x+1/2)(x+1/2) is the required product of binomials.


    Ans :- open parentheses x plus 1 half close parentheses open parentheses x plus 1 half close parentheses is the required product of binomials.
    Given , x squared plus x plus 1 fourth
    Write1 fourth text  as  end text open parentheses 1 half close parentheses squared text  and  end text x text  as  end text 2 open parentheses 1 half close parentheses left parenthesis x right parenthesis then we get x squared plus 2 open parentheses 1 half close parentheses x plus open parentheses 1 half close parentheses squared
    As a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared
    Here a = x and b =  1 half

    x+ x + 1 fourth = (x +1 half)2 = (x + 1 half) (x +1 half)

    ∴ (x+1 half)(x+1 half) is the required product of binomials.


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