3 years ago

Select all the zeros of the following polynomial F(x)=(x-3)(x+2)(x-4)

1 answer:

5 0

Answer: (B) -2, (E) 1, (F) 2
Step-by-step explanation:
x³ - x² - 4x + 4
= x²(x - 1) - 4(x - 1)
= (x² - 4) (x - 1)
= (x - 2)(x + 2)(x - 1)
Set each factor equal to zero to find the roots:
x - 2 = 0 x + 2 = 0 x - 1 = 0
x = 2 x = -2 x = 1

You might be interested in

A system of linear equations is shown below where

Brums [2.3K]

Answer:

543

Step-by-step explanation:

8 0

3 years ago

The sum of a rational number and an irrational number?

Semenov [28]

Answer:

Is irrational

Step-by-step explanation:

Let $r$ be a rational number, and $i$ be an irrational number. If their sum were rational, say $q$ , then we'd have

$r+i=q \iff i=q-r$

but $q-r$ is the difference between two rational numbers, and thus a rational number. But it also equals $i$ , which is irrational by hypothesis. Since we have a contradiction, we conclude that the sum of a rational and an irrational can't be rational.