simplify each polynomial
6g+8k-9g+2k
polynomials and properties of exponents quiz
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simplify each polynomial
6g+8k-9g+2k
To simplify the polynomial 6g+8k-9g+2k, you can combine like terms.
6g - 9g is -3g, and 8k + 2k is 10k.
So, the simplified form of the polynomial is:
-3g + 10k
simplify each polynomial
-4x+6x²+5x
To simplify the polynomial -4x+6x²+5x, you can combine like terms.
-4x + 5x is x, and there are no other like terms in this polynomial.
So, the simplified form of the polynomial is:
6x² + x
simplify each polynomial
3x²+8x+7x
To simplify the polynomial 3x²+8x+7x, you can combine like terms.
8x + 7x is 15x, and there are no other like terms in this polynomial.
So, the simplified form of the polynomial is:
3x² + 15x
find the degree of -5w³-4w²+7w+16
The degree of a polynomial is the highest exponent of its variable.
For the polynomial -5w³-4w²+7w+16, the highest exponent of its variable w is 3.
So, the degree of the polynomial is 3.
(9m+6)+(5m-6)
To add (9m+6) and (5m-6), you can combine the like terms.
9m and 5m are like terms, so you can add them together to get 14m.
6 and -6 are also like terms, and when you add them, you get 0.
So, the simplified form of (9m+6)+(5m-6) is:
14m + 0
Which can be further simplified to:
14m
(9m+6)+(-5m-6)
To add (9m+6) and (-5m-6), you can combine the like terms.
9m and -5m are like terms, so you can add them together to get 4m.
6 and -6 are also like terms, and when you add them, you get 0.
So, the simplified form of (9m+6)+(-5m-6) is:
4m + 0
Which can be further simplified to:
4m
(3r²+7r+1)+(4r²-8r-2)
To add (3r²+7r+1) and (4r²-8r-2), you can combine the like terms.
3r² and 4r² are like terms, so you can add them together to get 7r².
7r and -8r are also like terms, and when you add them, you get -1r or simply -r.
1 and -2 are also like terms, and when you add them, you get -1.
So, the simplified form of (3r²+7r+1)+(4r²-8r-2) is:
7r² - r - 1
Simplify
A² + 5a -3a
To simplify A² + 5a - 3a, you can combine the like terms.
5a and -3a are like terms, so you can subtract 3a from 5a to get 2a.
So, the simplified form of A² + 5a - 3a is:
A² + 2a
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Simplify
a² + 5a -3a²
To simplify a² + 5a - 3a², you can combine the like terms.
a² and -3a² are like terms, so you can subtract 3a² from a² to get -2a².
Then you can combine 5a and 0a (there's no other like term for 5a), which gives you 5a.
So, the simplified form of a² + 5a - 3a² is:
-2a² + 5a
3x² + 8x + 7x
To simplify 3x² + 8x + 7x, you can combine the like terms.
8x and 7x are like terms, so you can add them together to get 15x.
So, the simplified form of 3x² + 8x + 7x is:
3x² + 15x
Find the degree of -5w³ - 4w² + 7w +16
The degree of a polynomial is the highest exponent of its variable.
The highest exponent of variable w in -5w³ - 4w² + 7w + 16 is 3.
So, the degree of the polynomial is 3.