Respuesta :
The equation which can be represented by the algebraic model are provided in option A and option B as,
[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]
[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]
What is algebraic model?
Algebraic model are the expression which consist the variables, coefficients of variables and constants.
The algebraic model are used represent the general problem in the mathematical way to solve them.
Let's check the first option,
[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]
Multiply the brackets to solve it further as,
[tex]x^2 - 2x - 3 = x^2+x-3x-3\\x^2 - 2x - 3 = x^2-2x-3[/tex]
As, the LHS is equal to the RHS. Thus, this is correct option.
Second option is given as,
[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]
Multiply the brackets to solve it further as,
[tex]x^2 - 4x+ 3 = x^2 -x-3x+3\\x^2 - 4x+ 3 = x^2 -4x+3[/tex]
As, the LHS is equal to the RHS. Thus, this is correct option.
Third option is given as,
[tex]x^2 +2x+ 3 = (x +3)(x - 1)[/tex]
Multiply the brackets to solve it further as,
[tex]x^2 +2x+ 3 = x^2 -x+3x - 3 \\x^2 +2x+ 3 = x^2 +2x - 3[/tex]
As, the LHS is not equal to the RHS. Thus, this is not correct option.
Forth option is given as,
[tex]x^2 +4x - 3 = (x+ 3)(x +1)[/tex]
Multiply the brackets to solve it further as,
[tex]x^2 +4x - 3 = x^2+ x+3x +3\\x^2 +4x - 3 = x^2+4x +3[/tex]
As, the LHS is not equal to the RHS. Thus, this is not correct option.
Hence, the equation which can be represented by the algebraic model are provided in option A and option B as,
[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]
[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
Answer:
B. x2 – 4x + 3 = (x – 3)(x – 1)
Step-by-step explanation:
im right
