Final answer:
To factorize the quadratic expression, we can start by factoring each quadratic separately. Then we can combine the factored forms to obtain the final factorization. So the correct answer is a) (x - 5)(x + 4)(x - 1)(x + 3).
Step-by-step explanation:
The quadratic expression provided cannot be directly factorized because it is an expanded product of several binomials. To address the question correctly, we need to individually factorize each quadratic expression before they were multiplied together. Hence, we can focus on factorization of a general quadratic expression of the form ax^2 + bx + c.
A quadratic equation can be factorized by finding two numbers that multiply to give ac (the product of the coefficients of x^2 and the constant term) and add to give b (the coefficient of x).
To factorize the quadratic expression, we can start by factoring each quadratic separately. Then we can combine the factored forms to obtain the final factorization.
For the expression (x^2 - x - 20), it can be factored as (x - 5)(x + 4). And for the expression (x^2 + 2x - 3), it can be factored as (x - 1)(x + 3).
Combining the factored forms of both expressions, we get (x - 5)(x + 4)(x - 1)(x + 3). So the correct answer is a) (x - 5)(x + 4)(x - 1)(x + 3).