Final answer:
To rewrite the expression 4x^2-12x-7 in factored form, you need to factorize the quadratic expression by finding two numbers that multiply to -28 and add up to -12.
Step-by-step explanation:
To rewrite 4x^2-12x-7 in factored form, you need to factorize the quadratic expression.
Start by multiplying the coefficient of x^2 (4) and the constant term (-7) to get -28.
Next, find two numbers that multiply to -28 and add up to the coefficient of x (-12).
The numbers in this case are -14 and 2. Rewrite the expression as (4x^2 - 14x) + (2x - 7) and factor out the common terms.
The factored form is then 2x(2x - 7) - 1(2x - 7).
Factor out the common binomial term (2x - 7) to get the final factored form: (2x - 7)(2x - 1).