Simplify each polynomial
a^2+5a-3a^2
A.5a+2a^2
B.-2a^2+5a
C.-3a^2+6a
D.5a-3a^2
Is the answer B?
What are the answers
Yes
To simplify the polynomial a^2+5a-3a^2, you can combine like terms.
The like terms are the terms that have the same variable and exponent, in this case, 'a' and 'a^2'.
Combining the terms, we have:
a^2+5a-3a^2 = (1-3)a^2 + 5a = -2a^2 + 5a
Therefore, the correct answer is B. -2a^2 + 5a.
To simplify the polynomial a^2 + 5a - 3a^2, you need to simplify it by combining like terms.
The like terms in this polynomial are the terms that have the same variable and the same exponent. In this case, we have two terms with the variable "a" and two terms with the variable "a^2".
Now, let's simplify the polynomial step-by-step:
a^2 + 5a - 3a^2
Combine the terms with "a^2":
(a^2 - 3a^2) + 5a
Simplify (a^2 - 3a^2) = -2a^2:
-2a^2 + 5a
Therefore, the simplified form of the polynomial a^2 + 5a - 3a^2 is -2a^2 + 5a.
Hence, the answer is option B: -2a^2 + 5a.