Question

Express x^2-5x-24 as the product of two binomials

Answer 1

Expressing a quadratic equation as the product of two binomials is the same thing as factoring. 
The answer would be (x+3)(x-8) because if you multiply it out, x times x is x^2, -8x+3x is -5x, and -8 times 3 is -24. 
To multiply is out, you FOIL, or muliply the First terms in the two binomials (the x's), the the Outer terms (the x and the -8), then the Inner terms (the 3 and the x), and finally the Last terms (the 3 and the -8).so it's (x-8)(x+3)