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What is must be the factor of the polynomial function f(x) graphed on the coordinate plane below ?

What Is Must Be The Factor Of The Polynomial Function Fx Graphed On The Coordinate Plane Below class=

Sagot :

Answer:

B) x - 1

Step-by-step explanation:

The zeros of a polynomial function are given in the factored form as:

(x - c)

where x = c is a zero of the function (where it crosses the x-axis).

We can see that this function goes through the x-axis at:

  • x = 1
  • x = 6

Therefore, it must contain the factors:

  • (x - 1)
  • (x - 6)

This corresponds to answer B) x - 1.

Further Note

When x = c, the factor:

(x - c) = (c - c) = 0

and therefore the function's output (y-value) is equal to zero because anything multiplied by zero is zero.