A rectangular stage set up in a theater has an area of [tex]15x^2 + 3x - 12[/tex] square feet. Factor the polynomial completely.

Question

a630061087 · Answer

15x²+3x-12 =3(5x²+x-4) =3(x²+x-20) =3(x+5)(x-4) =3(5x+5)(5x-4) =3(x+1)(5x-4)

a630061087 · Answer

The polynomial 15 x 2 + 3 x − 12 can be factored by first taking out the greatest common factor of 3 , leading to 3 ( 5 x 2 + x − 4 ) . The quadratic is then factored into ( 5 x − 4 ) ( x + 1 ) , giving the final factorization as 3 ( 5 x − 4 ) ( x + 1 ) . 
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A rectangular stage set up in a theater has an area of [tex]15x^2 + 3x - 12[/tex] square feet. Factor the polynomial completely.

Answer (2)

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