dnees2000 dnees2000
  • 13-05-2019
  • Mathematics
contestada

Which polynomial could have the following graph?

Which polynomial could have the following graph class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 13-05-2019

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 Link
abbeygibas abbeygibas
  • 09-12-2020

Answer: y = (x + 3)(x - 1)(x - 5)

So in your case, it would be C.

Answer Link

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