Multiple Choice
Simplify each polynomial.
6g + 8k – 9g + 2k
A. 3g + 10k
B. –3g + 10k
C. 17gk
D. 10k – 3
Combine like terms to simplify the polynomial:
6g + 8k – 9g + 2k = (6g - 9g) + (8k + 2k) = -3g + 10k
Therefore, the answer is B. -3g + 10k
To simplify the given polynomial, we need to combine like terms. Like terms are terms that have the same variables raised to the same powers.
In the given polynomial, we have 6g, - 9g, 8k, and 2k. We can combine the terms with the same variables by adding or subtracting their coefficients.
Adding the coefficients of g terms:
(6g) + (-9g) = 6g - 9g = -3g
Adding the coefficients of k terms:
(8k) + (2k) = 8k + 2k = 10k
Putting the simplified terms together, we have:
-3g + 10k
Therefore, the correct answer is B. -3g + 10k.
To simplify the given polynomial, we can combine like terms.
We have:
6g + 8k - 9g + 2k
Combining the terms with 'g', we get:
(6g - 9g) + 8k + 2k
Simplifying further, we have:
-3g + 10k
Therefore, the simplified polynomial is given by option B:
-3g + 10k