Rational roots of f(x)=5x^2-3x+3

Mathematics

1 answer:

Aliun [14]3 years ago

3 0

Answer:

x=3+i√51/10, 3−i√51/10

Step-by-step explanation:

Set the function equal to 0 and solve for x

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Find all numbers whose absolute value is 2 .

Amiraneli [1.4K]

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If sin theta = -1/2 and lies in the third quadrant, what is the cos?

never [62]

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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 $x=4$