Respuesta :
Answer:
(3x - 1) and (x + 4)
Step-by-step explanation:
Given
3x² + 11x - 4
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 4 = - 12 and sum = + 11
The factors are + 12 and - 1
Use these factors to split the x- term
3x² + 12x - x - 4 ( factor the first/second and third/fourth terms )
= 3x(x + 4) - 1(x + 4) ← factor out (x + 4) from each term
= (x + 4)(3x - 1) ← factors required
The factors that Jenna need to model for the sides are (x + 4)(3x - 1).
What is a quadratic equation?
A quadratic equation is a second-degree algebraic equation in x. The conventional form of the quadratic equation is ax² + bx + c = 0, with a and b as coefficients, x as the variable, and c as the constant component.
Given quadratic equation:
3x² + 11x - 4
3x² + 12x - x - 4
3x(x + 4) - (x + 4)
(x + 4)(3x - 1)
The factors of the quadratic equation are (x + 4) and (3x - 1), hence Option(B) is the correct option.
Learn more about quadratic equation on:
https://brainly.com/question/24756209
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