Adding
POLYNOMIAL OR NOT??
Classify Polynomials
Parts of a Polynomial & Standard Form
Subtract
100
Add.
(2x2 + 6x + 5) + (3x2 - 2x - 1)
5x2 + 4x + 4
100
x-2
Yes
100
Classify the polynomial by degree and number of terms.
x - 4
Linear binomial
100
Name the leading term and leading coefficient of the polynomial.
-2x3+3x-4
Leading term: -2x3
Leading coefficient: -2
100
Subtract.
(2x2-2x+3)-(x2+5x-5)
x2-7x+8
200
Add.
(5x2+8x-10)+(-12-x+3x2)
8x2+7x-22
200
2 / (x+2)
No
200
Classify the polynomial by degree and number of terms.
-7
Constant monomial
200
Rewrite the polynomial in standard form.
8x-2-6x3
-6x3+8x-2
200
Subtract.
(2x2 - 4y + 7xy - 6y2) - (-3x2 + 5y - 4xy + y2)
5x2 - 7y2 -9y + 11xy
300
Add.
(3x2 - 6x + xy) + (7x + 8y)
3x2+x+xy+8y
300
Which of the following is not a polynomial? A. 5x3 - x/2 B. 3xy - 4yz + 2xz C. 52x3 - 19y5 D. 3/(x - 5)
D. 3/(x-5)
300
Classify the polynomial by degree and number of terms.
5-6x3+4x
Cubic trinomial
300
Rewrite the polynomial in standard form.
5x3+14x+7x2+3x-11-2x2
5x3+5x2+17x-11
300
Subtract.
(7x2+11-5x) - (3x2+2x-11)
4x2-7x+22
400
Add.
(8x-x3+4-9x2)+(7x3+9x2-10-8x)
6x3-6
400
Yes
400
Classify the polynomial by degree and number of terms.
binomial degree of 8
400
Name the leading term and leading coefficient of the polynomial.
5x3+5x2+17x-11
Leading term: 5x3
Leading coefficient: 5
400
If P = 5x4 - 2x2 + 4x - 3 and Q = 5x4 + 3x3 - 4x + 3, what is P - Q?
What is -3x3 - 2x2 + 8x - 6
500
P = 3x2 + xy - 5y2, Q = 2x2 - xy + 3y2 and R = -6x2 + 4xy - 7y2 What is P + (Q + R) ?
-x2+4xy-9y2
500
4x8+7x2+2x+1
No
500
4x2-4x2+3x4-5x2+x4
Quartic binomial
500
Simplify the polynomial by combining like terms. Then list all the coefficients.
2ab2+3a2b-6b-2ba2+3a-b-8
2ab2+a2b-7b+3a-8
Coefficients: 2, 1, -7, 3, -8
500
Subtract.
(x-2x3+8-7x2) - (8+5x-3x3)
x3-7x2+x