How do I find the X intercept?

Mathematics

1 answer:

attashe74 [19]2 years ago

4 0

Answer:

To find the x-intercept of an equation, set y = 0 and solve from there.

Step-by-step explanation:

Starting from the original problem:

2x-4y=12

2x-4(0)=12 (Plug in y=0)

2x=12 (4*0=0, so you can ignore that part)

x=6 (Divide both sides by 2)

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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 $x=4$