Which is a quadratic function having a leading coefficient of 3 and a constant term of –12?
2 answers:
You might be interested in
Answer: B. (x - 1) (x - 4)
Concept:
Here, we need to know the idea of zeros.
The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
By definition, the factored form of quadratic equations is basically their zeros.
<u>STEP ONE: Find the zeros / x-intercept of the graph</u>
The grid number is 2 per grid as 5 grids are 10 units.
The first intercept is between the y-axis and the first grid.
- 2 / 2 = 1
The second intercept is on the second grid.
- 2 × 2 = 4
<u>STEP TWO: Plug the zeros into factorization form</u>
Factor form = (x - x₁) (x - x₂)
x₁ = (1, 0)
x₂ = (4, 0)
Factorization of x² - 5x + 4 = (x - 1) (x - 4)
Hope this helps!! :)
Please let me know if you have any questions
