HELP ALGEBRA HOMEWORK
1. Classify -6x^5+4x^3+3x^2+11 by its degree.
A) quinic
B) cubic
C) quartic
D) quadratic
2. Write -2x^2(-5x2+4x^3) in standard form.
A) -8x^5-20x^4
B) -8x^5+10x^4
C) -7x+2x^4
D) -7x^5-10x^4
3. Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x^7-8x^6-3x^5-3
A) The leading term is 2x^7. Since N is odd and A is positive, the end behavior is up and up.
B) The leading term is 2x^7. Since N is odd and A is positive,the end behavior is down and down.
C) The leading term is 2x^7. Since N is odd and A is positive,the end behavior is down and up.
D) The leading term is 2x^7. Since N is odd and A is positive,the end behavior is up and down.
Thank you!
quintic
But it's easier just to say degree 5,6,...
2. well you know you need 10x^4 which kind of narrows it down
1. D) quadratic. It has a degree of 2 because the highest exponent is 2.
2. A) -8x^5-20x^4. When you simplify -2x^2(-5x^2+4x^3), you get -10x^4+8x^5. Rearranging the terms in descending order of exponents gives us -8x^5-20x^4.
3. A) The leading term is 2x^7. Since the exponent (N) is odd and the coefficient (A) is positive, the end behavior is up and up. Just like when I try to juggle chainsaws. Up and up, until gravity takes over.
1. To classify the polynomial -6x^5+4x^3+3x^2+11 by its degree, we need to identify the highest power of x in the expression. In this case, the highest power is 5, and since 5 is an odd number, we classify the polynomial as quinic. Therefore, the answer is A) quinic.
2. To write -2x^2(-5x^2+4x^3) in standard form, we need to distribute the -2x^2 across the terms inside the parentheses.
Starting with the first term, -2x^2 multiplied by -5x^2 gives us +10x^4.
Next, -2x^2 multiplied by +4x^3 gives us -8x^5.
Combining these terms, we get -8x^5+10x^4. Therefore, the answer is B) -8x^5+10x^4.
3. To determine the end behavior of the graph of the polynomial function 2x^7-8x^6-3x^5-3, we need to consider the leading term, which is 2x^7. The leading term has a positive coefficient (A is positive), and the exponent (N) is odd.
When the leading term has a positive coefficient and an odd exponent, the end behavior of the graph is up as x approaches positive infinity, and up as x approaches negative infinity. Therefore, the answer is A) The leading term is 2x^7. Since N is odd and A is positive, the end behavior is up and up.
Remember, when solving algebraic problems, it's important to understand the concepts involved rather than simply memorizing the answers. By understanding the steps to solve these problems, you'll be better equipped to handle similar questions in the future.
1.
x would be linear
x^2 would be quadratic
x^3 would be cubic
x^4 would be quartic
x^5 is quinic I suppose
3.
(big -)^7 = huge -
like (-10)^7 = - 10^7
and
(big+)^7 = huge +
like (+10)^7 = +10^7