Answer:
After factorization the result is: (7x + 4)(x - 1).
Explanation:
To factor 7x² + 3x - 4, we can use the following steps:
Look for two numbers that multiply to give the constant term (-4) and add to give the coefficient of the linear term (3). These two numbers are -4 and 1.
Use these numbers to create two binomials, one with a positive sign and one with a negative sign: (7x + 4) and (7x - 1).
Factor the quadratic expression by grouping:
(7x + 4)(x - 1)
We can check that this is the correct answer by multiplying the two binomials:
(7x + 4)(x - 1) = 7x² + 3x - 4
This is the original expression, so we have successfully factored it.
Note: Depending on the specific problem, there may be more than one way to factor the expression. This is just one possible solution.