Combine like terms for:
2x2 + 3(x - 4) + 3y - 9*(x - 7) - 6y4(5 - 3y)
Simplify by removing parenthesesSimplify 3(x - 4):
Distribute the 3 to each term in (x-4)
3 * x = (3 * 1)x = 3x
3 * -4 = (3 * -4) = -12
Our Total expanded term is 3x-12
Simplify -6y4(5 - 3y):
Distribute the -6y4 to each term in (5-3y)
-6y4 * 5 = (-6 * 5)y4 = -30y4
-6y4 * -3y = (-6 * -3)y(4 + 1) = 18y5
Our Total expanded term is -30y4 + 18y5
Our new term is
2x2 + 3x - 12 + 3y - 9*(x - 7) - 30y4 + 18y5
Evaluate the x2 terms:
2x2 ← There is only one x2 term
Evaluate the x terms:
3x + x
(3 + 1)x
4x
Evaluate the y terms:
3y ← There is only one y term
Evaluate the y4 terms:
-30y4 ← There is only one y4 term
Evaluate the y5 terms:
18y5 ← There is only one y5 term
Evaluate the constants:
-12 ← There is only one constant
Combine like terms
18y5 - 30y4 + 2x2 + 4x + 3y - 12
Analyze the 6 terms of the polynomial 18y5 - 30y4 + 2x2 + 4x + 3y - 12
Analyze Term 1
Term 1 is 18y5
Our coefficient/constant is 18
Our variable piece is y
Raise our variable to the power of 5
Analyze Term 2
Term 2 is -30y4
Our coefficient/constant is -30
Our variable piece is y
Raise our variable to the power of 4
Analyze Term 3
Term 3 is 2x2
Our coefficient/constant is 2
Our variable piece is x
Raise our variable to the power of 2
Analyze Term 4
Term 4 is 4x
Our coefficient/constant is 4
Our variable piece is x
No exponent exists for this term
Analyze Term 5
Term 5 is 3y
Our coefficient/constant is 3
Our variable piece is y
No exponent exists for this term
Analyze Term 6
Term 6 is -12
Our coefficient/constant is -12
This term has no variable, so it is a constant
No exponent exists for this term
Determine the Degree of the Polynomial:
Highest exponent for y = 5
Highest exponent for x = 2
