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Helen [10]
2 years ago
11

Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1, and zeros

Mathematics
1 answer:
Kitty [74]2 years ago
8 0

The factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)

<h3>How to determine the factored form?</h3>

The given parameters are:

  • Leading coefficient, a = 1
  • Zeros = -3, -3, 4, and 2.

Rewrite the zeros as:

x = -3, x = -3, x = 4 and x = 2

Set the zeros to 0

x + 3 = 0, x + 3 = 0, x - 4 = 0 and x - 2 = 0

Multiply the zeros

(x + 3) * (x + 3) * (x - 4) *(x - 2) = 0

Express as a function

y(x) = a(x + 3) * (x + 3) * (x - 4) *(x - 2)

Substitute 1 for a

y(x) = (x + 3)²(x - 4)(x - 2)

Hence, the factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

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