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Helen [10]
3 years ago
9

Add the following polynomials (write answers in descending order):

Mathematics
1 answer:
kiruha [24]3 years ago
7 0

Answer/Step-by-step explanation:

1. (7j³ - 2) + (5j³ - j - 3)

Open the parentheses

7j³ - 2 + 5j³ - j - 3

Collect like terms. Like terms are terms that have the same degree.

7j³ + 5j³ - j - 2 - 3 (7j³ and 5j³, have the same degree, 2 and 3 are if the same degree)

12j³ - j - 5 (this already in descending order)

2. (8a⁵ - 4) + (3a⁵ + a - 2)

Open parentheses

8a⁵ - 4 + 3a⁵ + a - 2

Collect like terms

8a⁵ + 3a⁵ + a - 4 - 2

12a⁵ + a - 6 (in ascending order from largest to smallest degree)

3. (6m² + 1) + (3a⁵ + a - 2)

6m² + 1 + 3a⁵ + a - 2

Collect like terms

6m² + 3a⁵ + a + 1 - 2

6m² + 3a⁵ + a - 1

Rearrange from largest to smallest degree

3a⁵ + 6m² + a - 1

4. (3m⁵ + 1) + (9m⁵ + 3m - 2)

3m⁵ + 1 + 9m⁵ + 3m - 2

Collect like terms

3m⁵ + 9m⁵ + 3m + 1 - 2

12m⁵ + 3m - 1

5. (- 5x² - x + 4) + (- 3x² - 5x + 2)

Open parentheses

-5x² - x + 4 - 3x² - 5x + 2

Collect like terms

-5x² - 3x² - x - 5x + 4 + 2

-8x² - 6x + 6

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Answer:

Step 1: 8 + 16x Step 2: 4(4) + 4(12x) Step 3: 4(4 + 12x) Step 4: Dimensions of the rectangle are 4 and 4 + 12x In which step did the student first make an error and what is the correct step? Step 3; 4 + (4 + 12x) Step 3; 4 + (4 ⋅ 12x) Step 2; 4(2) + 4(4x) Step 2; 4(2) + 4x(2)

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