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docker41 [41]
3 years ago
9

Rewrite the following expression performing the subtraction.

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
6 0

Answer:

a) 3c^2-11c+12

b) 3 terms in simplified expression

c) 3 is leading coefficient

d) 2 is the degree of simplified expression

Step-by-step explanation:

We need to perform subtraction of (5c^2 - 3c + 9) - (2c^2+ 8c - 3)

a) What did you need to distribute to the second polynomial to rewrite?

We need to multiply - sign with the terms inside the bracket.

Perform subtraction. Then, answer:

(5c^2 - 3c + 9) - (2c^2+ 8c - 3)\\=5c^2 - 3c + 9 - 2c^2- 8c +3\\Combining \ like \ terms\\=5c^2-2c^2-3c-8c+9+3\\=3c^2-11c+12

b) How many terms in the simplified expression?

There are 3 terms in the simplified solution 3c^2-11c+12

c) What is the leading coefficient of the simplified expression?

The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3

d) What is the degree of the simplified expression?

The highest degree is considered as the degree of simplified expression. In our case 3c^2-11c+12 the highest degree is 2

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