Question

Преобразуйте в многочлен стандартного вида:-4/7а(2,1а3 – 0,7а +1/4)​

Answer 1

Ответ:

Смотри решение на фото...

Answer 2

Converting to Standard Form Polynomial

To convert the given expression to standard form, we'll start by simplifying the expression within the parentheses and then distribute the outer coefficient. Let's break it down step by step.

1. Simplify the Expression within Parentheses: - The expression within the parentheses is: 2.1a^3 - 0.7a + 1/4 - We'll combine the like terms and express the constant term as a fraction.

2. Distribute the Outer Coefficient: - After simplifying the expression within the parentheses, we'll distribute the outer coefficient of -4/7a to each term.

Simplifying the Expression within Parentheses

The given expression within the parentheses is: 2.1a^3 - 0.7a + 1/4

We'll first express the constant term as a fraction: 1/4 = 0.25

So, the expression becomes: 2.1a^3 - 0.7a + 0.25

Distributing the Outer Coefficient

Now, we'll distribute the outer coefficient of -4/7a to each term:

-4/7a * 2.1a^3 = -8/7a^4 -4/7a * (-0.7a) = 4/5a^2 -4/7a * 0.25 = -1/7a

Final Standard Form Polynomial

After distributing the outer coefficient, the expression in standard form becomes:

-8/7a^4 + 4/5a^2 - 1/7a

So, the given expression -4/7a(2.1a^3 - 0.7a + 1/4) in standard form is -8/7a^4 + 4/5a^2 - 1/7a.