Simplify each polynomial.
6g + 8k – 9g + 2k
A. 3g + 10k
B. –3g + 10k
C. 17gk
D. 10k – 3
B. –3g + 10k
–4x + 6x2 + 5x
A. 7x3
B. 6x2 + 9x
C. 6x2 – 9x
D. 6x2 + x
B. 6x2 + 9x
a2 + 5a – 3a2
A. 5a + 2a2
B. 5a – 2a2
C. 2a2 + 5a
D. 5a – 3a2
D. 5a – 3a2
3x2 + 8x + 7x
A. 3x2 + 15x
B. 18x3
C. 3x2 + 1
D. 3x2 – x
A. 3x2 + 15x
Find the degree of –5w3 – 4w2 + 7w + 16.
A. –5
B. 16
C. 14
D. 3
D. 3
To simplify the given polynomial, we need to combine the like terms. Like terms have the same variables raised to the same powers.
In the given polynomial, the like terms are the terms with the variable "g" and the terms with the variable "k":
6g and -9g (both have "g")
8k and 2k (both have "k")
To combine the like terms with "g", we add their coefficients:
6g - 9g = -3g
To combine the like terms with "k", we add their coefficients:
8k + 2k = 10k
Putting the results together, the simplified expression is:
-3g + 10k
Therefore, the correct answer is B. -3g + 10k.