Answer:
(5 + 3y)(25 - 15y + 9y²)
Step-by-step explanation:
This is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
125 + 27y³
= 5³ + (3y)³ with a = 5 and b = 3y
= (5 + 3y)(5² - 5(3y) + (3y)² )
= (5 + 3y)(25 - 15y + 9y²)
Sure this question comes with a set of answer choices.
Anyhow, I can help you by determining one equation that can be solved to determine the value of a in the equation.
Since, the two zeros are - 4 and 2, you know that the equation can be factored as the product of (x + 4) and ( x - 2) times a constant. This is, the equation has the form:
y = a(x + 4)(x - 2)
Now, since the point (6,10) belongs to the parabola, you can replace those coordintates to get:
10 = a (6 + 4) (6 - 2)
Therefore, any of these equivalent equations can be solved to determine the value of a:
10 = a 6 + 40) (6 -2)
10 = a (10)(4)
10 = 40a
