what are the coefficients in the polynomial 5x^2+2x-4?
A: 5,2
B: -5,-2
C: 5,2,-4
D: 5,-2,-4
A: 5,2
could you show the math to figure this out please? I don't just want the answer, I want to learn.
Sure! In a polynomial in standard form, the coefficients are the numerical values that are multiplied by the variables raised to different powers.
In the polynomial 5x^2 + 2x - 4, we have:
- The coefficient of x^2 is 5.
- The coefficient of x is 2.
- The coefficient of the constant term (which doesn't have a variable) is -4.
Therefore, the coefficients are 5 and 2. So the answer is A: 5,2.
thank you very much, you're an absolute lifesaver.
You're welcome! I'm glad I could help. If you have any other questions, feel free to ask!
Actually, I do have another question for you. Add or subtract.
(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
To add or subtract these two expressions, we need to combine like terms.
The first expression, m^2 - m - 4, has no like terms with the second expression, m - 5. Therefore, we just need to write both expressions together:
(m^2 - m - 4) + (m - 5)
From here, we can simplify by combining like terms. First, we can group the terms with m together:
m^2 + (m - m) + (-4 - 5)
The terms with m cancel out because they are opposites. So we are left with:
m^2 - 9
Therefore, the answer is D: m^2 - 9.