ANSWER
y=(x+3)(x-1)(x-5)
EXPLANATION
The given polynomial has x-intercepts at x=-3,x=1,x=5
These are called the zeros of this polynomial.
We can use the factor theorem to obtain the polynomial in factored form.
The polynomial in factored form is of the form
y=a(x+3)(x-1)(x-5)
The polynomial rises on the left and keep rising on the right.
This implies that, the 'a' is positive.
Therefore
y=(x+3)(x-1)(x-5)
The correct choice is the first option.
Answer:
(x, x2 -2x+8) where −5 ≤ x ≤ 3
Step-by-step explanation:
The given function is f(x)=x2- 2x+ 8
We want to select the option that describes all the solutions to the parabola.
The domain of the parabola is −5 ≤ x ≤ 3.
This means that any x=a on −5 ≤ x ≤ 3 that satisfies (a,f(a)), is a solution.
This can be rewritten as (a,-a2- 2a+ 8)
Therefore for x belonging to −5 ≤ x ≤ 3, all solutions are given by:
(x, x2 -2x+8) where −5 ≤ x ≤ 3.
Answer:
The value of x = 1
Step-by-step explanation:
2x+3 = 5
=> 2x = 5-3
=> 2x = 2
=> x = 2/2
=> x = 1