Like Terms
Combine like terms:
3x + 7 - x
2x - 7
Add the polynomials:
(8x2 - x + 4 ) + (x - 5)
a) 8x2 + 9 b) 8x2 -1
c) 8x2 - 2x + 9 d) 8x2 - 2x -1
b) 8x2 -1
Subtract the polynomials and write the answer in standard form:
(2x + 15) - (x + 4)
x + 11
What is the constant of the polynomial?
x2 + x + 2
2
Write the polynomial in standard form and it degree:
2x + x2
x2 + 2x
Degree= 2
Combine like terms:
4x2 - 3x + x2 - 5
5x2 - 3x - 5
Add the polynomials:
(x2 + 4x + 4) + (x2 + 4x + 4)
2x2 +8x + 8
3(x + 4) - (2x + 7)
a) x + 5 b) x - 10
c) x - 3 d) x + 11
a) x + 5
How many terms is this polynomial?
What type of polynomial is it? (Monomial, binomial, trinomial, polynomial)
3x5 + 3x4 + 7
3, Trinomial
Write the polynomial in standard form:
-3x2 - x + 4 + 2x3
2x3 - 3x2 - x + 4
Degree= 3
Combine like terms - leave answer in Standard Form:
-4x - 5x + 6x3 + 8
6x3 - 9x + 8
The sum of 2(x2-1) and 3(x-4) is
2x2 +3x-14
Subtract the polynomials and write the answer in standard form:
(5x2 + 3x + 7) - 2(x3 + 2x2 + 1)
-2x3 + x2 + 3x + 5
How many terms is this polynomial in standard form?
What type of polynomial is this?
-x4 + 3x - 5x4 + 7x
2, binomial
Write the polynomial in standard form:
-x + x2 - 4 + 5x2
6x2 - x - 4
Degree =2
Combine like terms and leave in Standard Form:
18xyz + -17xyz - 16x2
-16x2 + xyz
The expression -2(x3-2x2+1)+(3x3+3x2-5) is equivalent to
a) x6+7x4-7 b) x3+7x2+7
b). x3+7x2-7 d) x3+7x-7
b). x3+7x2-7
The expression 3( x2 + 2x - 3) - 4( 4x2 - 7x + 5) is equivalent to:
a) -13x - 22x + 11 b) -13x2 + 34x - 29
c) 19x2 - 22x + 11 d) 19x2 + 34x - 29
b) -13x2 + 34x - 29
What are the coefficients?
What is the constant?
-x + x2 - 3x3 + 2x2 - x
-1,1,-3,2,-1
0
Write the polynomial in standard form:
6x - 5x2 + 14 + 3x - 2x3
-2x3 - 5x2 + 9x + 14
Degree =3
Combine like terms and leave in Standard Form:
-x3 - 3x2 + 4x3 - 3x2 + 5x5
5x5 + 3x3 - 6x2
Add the polynomials and write the answer in standard form:
2(-3x3 + x + 3x3 + x) + 4(2x2 - 2x + 15)
8x2 - 4x + 60
Subtract the polynomials and write the answer in standard form:
-3(3x - 3x2 - 3x3 - 3x4) + 3(3x -3x2 - 3x3 - 3x4)
0
What are the coefficients?
What is the variable?
What is the constant?
What is the polynomial in standard form?
5x5 + 4x4 - 3x3 - 2x2 + x5 + 2
5,4,-3,-2,1
x
2
6x5 + 4x4 - 3x2 - 2x2 + 2
Write the polynomial in standard form:
2 (3x - 6x + 0.5 x2 + 0.5 x3 - 0.5 x2 + 2x3 )
5x3 - 6x
Degree = 3