Question

What is the value of the leading coefficient?
34
2
1
-4
X
2
2
4
6
-1
0
-1
- 2
3
-5

Answer 1

9514 1404 393

Answer:

  1/30

Step-by-step explanation:

The zeros of the function are ...

• -3
• 2 (multiplicity 2)
• 5

So, the factorization for some leading coefficient 'a' is ...

  y = a(x +3)(x -2)²(x -5)

and the y-intercept is ...

  y = a(3)(-2)²(-5) = -60a

The graph shows the y-intercept is -2, so we must have ...

  -2 = -60a

  1/30 = a

The leading coefficient is 1/30.