What the rate and unit rate to 9:2 if you divide 18 and 4 by 2

1 answer:

8 0

The rate for 18:4 divided by 2:2 would be 9:2. This is because 18 divided by 2 is 9 and 4 divided by 2 is 2. The unit rate for 9:2 is 4.5:1. This is because you must divide 2 by 2 in order to get 1, and what you do to the second part you must do to the first part. 9 divided by 2 is 4.5.

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Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

ollegr [7]

Answer:

$f(4)=0$

Step-by-step explanation:

The Remainder Theorem states that when you divide a polynomial $f(x)$ by a linear factor $(x-a)$ , where $a$ is a constant, the remainder is $f(x)$ evaluated at $x=a$

Moreover, according to the Factor Theorem, an extension of the Remainder Theorem, if the remainder of the function $f(x)$ is 0 when evaluated at $x=a$ , then $(x-a)$ is said to be a factor of the polynomial $f(x)$

Given the 2 theorems above, it follows that if $(x-4)$ is a factor of $f(x)$ , then the remainder is equal to 0 when $f(x)$ is evaluated at $x=4$