What are the coefficients in the polynomial 4x² + 3x − 3?
A.) 4, -3, -3
B.) 4, 3
C.) 4, 3, 3
D.) -4, -3
The coefficients in a polynomial are the numbers in front of the variables (in this case, x) raised to various powers. So the coefficients in 4x² + 3x − 3 are 4, 3, and -3.
Answer: A) 4, -3, -3
Add or subtract.
(m2 – m + 3) + (m – 1)
First, we need to distribute the addition sign to every term in the second parentheses:
(m2 – m + 3) + (m – 1) =
m2 – m + 3 + m – 1
Now we can combine like terms (the -m and +m cancel out) and simplify:
m2 + 2
Answer: m2 + 2
Add or subtract.
(7x2 – x – 2) – (–6x3 + 3)
Remember that subtracting a negative is the same as adding a positive. So, we can rewrite this expression as:
7x2 - x - 2 + 6x3 - 3
Then, we can rearrange the terms and combine like terms:
6x3 + 7x2 - x - 5
Answer: 6x3 + 7x2 - x - 5
144^14 divided by 144^2
When dividing exponential expressions with the same base, we can subtract the exponents.
So in this case:
144^14 ÷ 144^2 = 144^(14-2) = 144^12
Therefore,
144^14 ÷ 144^2 = 144^12
x^16 divided by x^3
When dividing exponential expressions with the same base, we can subtract the exponents.
So in this case:
x^16 ÷ x^3 = x^(16-3) = x^13
Therefore,
x^16 ÷ x^3 = x^13
Which of the following expressions is true?
A. 43 • 44 = 412
B. 52 • 53 > 55
C. 32 • 35 < 38
D. 52 • 54 = 58