Adding and Subtracting Polynomials

1. (9m + 6) + (–5m – 6)

A. 4m + 12
B. 14m + 12
C. 14m – 12
D. 4m

2. (3r^2 + 7r + 1) + (4r^2 – 8r – 2)

A. 7r^2 + 15r – 1
B. 7r^2 – r – 1
C. 7r^2 – 15r – 3
D. r^2 – r – 1

3. (6h + 1) – (9h + 4)

A. –3h – 3
B. 15h – 5
C. –3h + 3
D. –3h + 5

4. (m^2 – m – 4) + (m – 5)

A. m^2 – 2m + 9
B. m^2 + 2m – 9
C. m^2 – 2m – 9
D. m^2 – 9

5. (4x + 4) + (3x + 2 + 1)

A. 7x + 3
B. x + 7
C. 7x + 7
D. 8x + 6

1 = D 2 = B 3 = A 4 = D 5 = C

Answered by Yackobus | 2024-06-10

The required, **solutions **of the given polynomials are, (1) D. 4m. (2) B. 7r² - r - 1 (3) A. -3h - 3 (4) D. m² - 9 (5) C. 7x + 7
What is a polynomial function?
A **polynomial function **is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial , **binomial **and **trinomial **etc. ax+b is a polynomial.
Here.

(9m + 6) + (–5m – 6)

= 9m + 6 - 5m - 6 (distribute the negative sign)
= 4m + 0
= 4m
Therefore, the answer is D. 4m.

(3r² + 7r + 1) + (4r² – 8r – 2)

= 3r² + 4r² + 7r - 8r + 1 - 2 (combine like terms)
= 7r² - r - 1
Therefore, the answer is B. 7r² - r - 1.

(6h + 1) – (9h + 4)

= 6h + 1 - 9h - 4 (distribute the negative sign)
= -3h - 3
Therefore, the answer is A. -3h - 3.

(m² – m – 4) + (m – 5)

= m² - m + m - 4 - 5 (combine like terms)
= m² - 9
Therefore, the answer is D. m² - 9.

(4x + 4) + (3x + 2 + 1)

= 4x + 3x + 4 + 2 + 1 (combine like terms)
= 7x + 7
Therefore, the answer is C. 7x + 7.
Learn more about **polynomial functions **here:
https://brainly.com/question/12976257
#SPJ5

Answered by priyankapandeyVT | 2024-06-17

The answers to the polynomial problems are: 1) D. 4m, 2) B. 7r² - r - 1, 3) A. -3h - 3, 4) D. m² - 9, 5) C. 7x + 7.
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Answered by priyankapandeyVT | 2024-12-24