Simplify Polynomials
18x^2+6+4x-15x^2-4+13x
3x^2+6-2x+5x-4x^2+9
3x^2+3x-7x+3-5x^+2
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What is the coefficient of x?
-5x-4x^2+9
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ADD
(m^2-m-4)+(m-5)
SUBTRACT
(5x^2+x-3)-(-2x^3+4)
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f^2 Times f^4
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100^12/100^8
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x^16/x^3
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4^4 times 4^6
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3^3 times 3^3
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I have a lot more to do but I really NEED the points. Can you please please please help me?
18x^2+6+4x-15x^2-4+13x
(18-15)x^2 + (4+13)x + (6-4)
3x^2 + 17x + 2
3x^2+6-2x+5x-4x^2+9
(3-4)x^2 + (-2+5)x + (6+9)
-x^2 + 3x + 15
3x^2+3x-7x+3-5x^+2
(3-5)x^2 + (3-7)x + (3+2)
-2x^2 - 4x + 5
-5 is the coefficient of x
-4 is the coefficient of x^2
(m^2-m-4)+(m-5)
m^2 + (-1+1)m + (-4-5)
m^2 - 9
(5x^2+x-3)-(-2x^3+4)
(5- -2)x^2 + (1-0)x + (-3-4)
7x^2 + x - 7
f^2 * f^4 = f^(2+4) = f^6
100^12/100^8 = 100^(12-8) = 100^4
x^16/x^3 = x^(16-3) = x^13
4^4 * 4^6 = 4^(4+6) = 4^10
3^3 * 3^3 = 3^(3+3) = 3^6
Looks like you seriously need to review the pertinent sections of your text.
Of course, I'll be happy to help you with your questions!
1. Simplify Polynomials:
18x^2 + 6 + 4x - 15x^2 - 4 + 13x
Combine like terms:
(18x^2 - 15x^2) + (4x + 13x) + (6 - 4)
3x^2 + 17x + 2
3x^2 + 6 - 2x + 5x - 4x^2 + 9
Combine like terms:
(3x^2 - 4x^2) + (-2x + 5x) + (6 + 9)
-x^2 + 3x + 15
3x^2 + 3x - 7x + 3 - 5x^2 + 2
Combine like terms:
(3x^2 - 5x^2) + (3x - 7x) + (3 + 2)
-2x^2 - 4x + 5
2. What is the coefficient of x in -5x - 4x^2 + 9?
The coefficient of x is -5.
3. ADD: (m^2 - m - 4) + (m - 5)
Combine like terms:
m^2 - m + m - 4 - 5
m^2 - 9
4. SUBTRACT: (5x^2 + x - 3) - (-2x^3 + 4)
Distribute the negative sign:
5x^2 + x - 3 + 2x^3 - 4
Rearrange the terms in descending power of x:
2x^3 + 5x^2 + x - 3 - 4
2x^3 + 5x^2 + x - 7
5. f^2 times f^4 equals f^(2+4) or f^6.
6. 100^12 / 100^8 equals 100^(12-8) or 100^4.
7. x^16 / x^3 equals x^(16-3) or x^13.
8. 4^4 times 4^6 equals 4^(4+6) or 4^10.
9. 3^3 times 3^3 equals 3^(3+3) or 3^6.
I hope this helps you! Let me know if you have more questions.
Of course! I'll help you with each question step by step. Let's get started.
1. Simplify the polynomial:
18x^2 + 6 + 4x - 15x^2 - 4 + 13x
To simplify, combine like terms by adding or subtracting coefficients of the same power of x. In this case:
(18x^2 - 15x^2) + (4x + 13x) + (6 - 4)
= 3x^2 + 17x + 2
2. Find the coefficient of x in -5x - 4x^2 + 9:
The coefficient of x is the number in front of x, which is -5 in this case.
3. Perform addition: (m^2 - m - 4) + (m - 5)
Combine like terms by adding the coefficients of the same power of m:
(m^2 + m) + (-m - 5 - 4)
= m^2 + m - m - 9
= m^2 - 9
4. Perform subtraction: (5x^2 + x - 3) - (-2x^3 + 4)
Distribute the negative sign in front of the parentheses:
5x^2 + x - 3 + 2x^3 - 4
Combine like terms:
2x^3 + 5x^2 + x - 3 - 4
= 2x^3 + 5x^2 + x - 7
5. Multiply f^2 by f^4:
When multiplying monomials with the same base, add the exponents:
f^(2+4)
= f^6
6. Divide 100^12 by 100^8:
When dividing monomials with the same base, subtract the exponents:
100^(12-8)
= 100^4
7. Divide x^16 by x^3:
When dividing monomials with the same base, subtract the exponents:
x^(16-3)
= x^13
8. Multiply 4^4 by 4^6:
When multiplying monomials with the same base, add the exponents:
4^(4+6)
= 4^10
9. Multiply 3^3 by 3^3:
When multiplying monomials with the same base, add the exponents:
3^(3+3)
= 3^6
I hope this helps you with your assignment! If you have more questions, feel free to ask.