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What is the value of the leading coefficient?

34
2
1
-4
X
2
2
4
6
-1
0
-1
- 2
3
-5

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

1 Answer

6 votes

9514 1404 393

Answer:

1/30

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.

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