Question in the image, please help

Solved

Show answers

Ответ:

3345

16.07.2022

Mathematics

The roots are -2,-4 and 4

B, C and E are correct.

Step-by-step explanation:

Given: x^3+2x^2-16x-32

We are given a cubic polynomial. We have to find the roots of the polynomial. Roots are the x-intercept of polynomial.

First we will set the polynomial to 0 and solve for x

x^3+2x^2-16x-32=0

x^2(x+2)-16(x+2)=0

(x+2)(x^2-16)=0

(x+2)(x+4)(x-4)=0 $\because a^2-b^2=(a+b)(a-b)$

Now, we will set each factor to zero and solve for x

$x+2=0\ \ \ \ x+4=0\ \ \ \ \ \ \ x-4=0$

x=-2,-4,4

Hence, The roots are -2,-4 and 4

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice