To find the degree of a polynomial, we need to find the highest exponent of the variable in the polynomial.
In this case, we have two terms with the variable w that are squared: -5w squared and -4w squared. The highest exponent of w in those terms is 2.
We also have one term with just w, which has an exponent of 1.
So, the degree of the polynomial is 2 because the highest exponent of the variable w is 2.
Therefore, the degree of -5w squared -4w squared +7w+16 is 2.
Find the degree of -5w squared -4w squared +7w+16.
12 answers
-5w to the third -4w squared +7w +16.
To find the degree of this polynomial, we need to find the highest exponent of the variable w in the polynomial.
The highest exponent of w in this polynomial is 3, which is in the term -5w to the third.
Therefore, the degree of -5w to the third -4w squared +7w +16 is 3.
The highest exponent of w in this polynomial is 3, which is in the term -5w to the third.
Therefore, the degree of -5w to the third -4w squared +7w +16 is 3.
( 9m+6)+(-5m-6)
We can simplify this expression by combining like terms.
First, let's distribute the negative sign to the second set of parentheses:
( 9m+6) + (-5m-6) = 9m + 6 - 5m - 6
Now, we can combine the like terms of 6 and -6 to get 0:
9m - 5m = 4m
So, the expression simplifies to:
4m + 0
Which can be further simplified to:
4m
First, let's distribute the negative sign to the second set of parentheses:
( 9m+6) + (-5m-6) = 9m + 6 - 5m - 6
Now, we can combine the like terms of 6 and -6 to get 0:
9m - 5m = 4m
So, the expression simplifies to:
4m + 0
Which can be further simplified to:
4m
( 3r squared +7r +1)+(4r squared -8r-2)
We can simplify this expression by combining like terms.
First, let's add the like terms with the variable r:
( 3r squared +7r +1)+(4r squared -8r-2) = 3r squared + 4r squared + 7r - 8r + 1 - 2
Now, we can combine the like terms of 3r squared and 4r squared to get 7r squared:
7r squared - r - 1
So, the expression simplifies to:
7r squared - r - 1
First, let's add the like terms with the variable r:
( 3r squared +7r +1)+(4r squared -8r-2) = 3r squared + 4r squared + 7r - 8r + 1 - 2
Now, we can combine the like terms of 3r squared and 4r squared to get 7r squared:
7r squared - r - 1
So, the expression simplifies to:
7r squared - r - 1
( 6h+1 )-( 9h+4)
We can simplify this expression by distributing the negative sign to the second set of parentheses and then combining like terms.
( 6h+1 )-( 9h+4) = 6h + 1 - 9h - 4
Now, we can combine the like terms of 6h and -9h to get -3h. We can also combine the like terms of 1 and -4 to get -3:
6h - 9h + 1 - 4 = -3h - 3
So, the expression simplifies to:
-3h - 3
( 6h+1 )-( 9h+4) = 6h + 1 - 9h - 4
Now, we can combine the like terms of 6h and -9h to get -3h. We can also combine the like terms of 1 and -4 to get -3:
6h - 9h + 1 - 4 = -3h - 3
So, the expression simplifies to:
-3h - 3
( -7w squared-2w-1)-5w squared +3w-2)
Let's first simplify the expression inside the parentheses by distributing the negative sign to the second set of parentheses:
(-7w squared - 2w - 1) - 5w squared + 3w - 2 = -7w squared - 2w - 1 - 5w squared + 3w - 2
Now, we can combine the like terms of -7w squared and -5w squared to get -12w squared. We can also combine the like terms of -2w and 3w to get w. And, we can combine the like terms of -1 and -2 to get -3:
-7w squared - 5w squared - 2w + 3w - 1 - 2 = -12w squared + w - 3
So, the expression simplifies to:
-12w squared + w - 3
(-7w squared - 2w - 1) - 5w squared + 3w - 2 = -7w squared - 2w - 1 - 5w squared + 3w - 2
Now, we can combine the like terms of -7w squared and -5w squared to get -12w squared. We can also combine the like terms of -2w and 3w to get w. And, we can combine the like terms of -1 and -2 to get -3:
-7w squared - 5w squared - 2w + 3w - 1 - 2 = -12w squared + w - 3
So, the expression simplifies to:
-12w squared + w - 3
Draw a model to represent the polynomial x squared +2x +4.