Factor the quadratic polynomials. x^{2}-4x-12

Russell Gillen 2021-12-16 Answered
Factor the quadratic polynomials.
x24x12
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Expert Answer

MoxboasteBots5h
Answered 2021-12-17 Author has 35 answers
The given quadratic polynomial is x24x12.
It is factored as follows.
x24x12=x26x+2x12
=x(x-6)+2(x-6)
=(x+2)(x-6)
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Joseph Fair
Answered 2021-12-18 Author has 34 answers
The given equation is:
x24x12
x24x=12
Thus,
x24x=12
x24x12=0
The product of the second degree term and the constant is 12x2. Factors of 12x2 that sum to -4x are -6x and 2x. Thus,
Factorizing which we get,
x24x12=0
x26x+2x12=0
x(x6)+2(x6)=0
(x6)(x+2)=0
The required values of x are 6 and -2.
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