For questions 2 and 3, simplify each polynomial.
3x2 + 6 – 2x + 5x – 4x2 + 9
A. –x2 + 3x + 15
B. 7x2 + 3x + 3
C. x2 – 3x + 15
D. –x2 + 7x + 15
3x2 + 6 – 2x + 5x – 4x2 + 9 can be simplified by combining like terms:
(3x^2 - 4x^2) + (-2x + 5x) + (6 + 9)
-x^2 + 3x + 15
Therefore, the answer is A. –x2 + 3x + 15.
To simplify the given polynomial, you need to combine like terms. Like terms are terms that have the same variable(s) raised to the same exponent(s).
Let's break down the given polynomial and group the like terms:
3x^2 - 4x^2 + 6 - 2x + 5x + 9
To simplify, first combine the like terms with the same exponent:
(3x^2 - 4x^2) + (-2x + 5x) + (6 + 9)
-x^2 + 3x + 15
Therefore, the simplified form of the polynomial 3x^2 + 6 - 2x + 5x - 4x^2 + 9 is -x^2 + 3x + 15.
The correct answer is D. -x^2 + 7x + 15.
To simplify the polynomial 3x^2 + 6 - 2x + 5x - 4x^2 + 9, we can combine like terms by adding or subtracting the coefficients of the same variables.
First, let's group the terms with the same variable:
(3x^2 - 4x^2) + (-2x + 5x) + (6 + 9)
Next, let's simplify each group of terms:
(-x^2) + (3x) + (15)
So, the simplified polynomial is -x^2 + 3x + 15.
Therefore, the answer is option A: -x^2 + 3x + 15.