Addition of Polynomials
(4x2 + 2x) + (x2 + 6x)
5x2 +8x
(y2 - 10y) - (y2 + 3)
-10y-3
Rewrite in standard form. Classify each polynomial by degree and number of terms.
x2+5x4-1
5x4+x2-1
Quartic Trinomial
(x + 4)(x - 2)
x2 + 2x - 8
What is the the nth coefficient?
3n2-6n+2
-6
(-3y2 + y) + (4y2 + 6y)
y2 +7y
(2x2 + 5x - 3) - (3x3 + 2x - 5)
-3x3 + 2x2 +3x + 2
Rewrite in standard form. Classify each polynomial by degree and number of terms.
x-2x2
-2x2+x
Quadratic Binomial
(a + 3)(a − 2)
a2 + 1a − 6
What is the perimeter for a triangle whose side are:
2x+1
5x-4
x2+6
x2+7x+3
(2a2 - 7a + 10) + (a2 + 4a + 7)
3a2 -3a +17
(-3a2 - 2a) - (4a2 - 4)
-7a2 - 2a + 4
Rewrite in standard form. Classify each polynomial by degree and number of terms.
-3x+2x3+x2-1
2x3+x2-3x-1
Cubic Polynomial
(4m + 2)(4m + 5)
16m2 + 28m + 10
What is the area of a rectangle with a width of 2x - 1 and length of 3x+12
6x2 + 21x - 12
(2r2 - 5r + 7) + (3r3 - 6r)
3r3 + 2r2 -11r + 7
(4x3 + 5x + 2) - (1 + 2x - 3x2)
4x3 + 3x2 +3x + 1
What is the leading coefficient and how many terms does this expression have?
4x2-3x+2-x4
The leading coeffiecent is -1 and it has 4 terms.
(4x - 3)2
16x2-24x+9
Combine Like Terms:
(15x2 + 6x - 3) – 2(10x2 + 2x + 2)
-5x2 + 2x - 7
(5r3 - 6r2 +3r) + (r2 -2r - 3)
5r3 - 5r2 + r - 3
(4 - x - 2x2) - (-2 + 3x - x3)
x3 - 2x2 - 4x + 6
Is the following expression quadratic? Explain.
4x-4+x3
no the highest exponent is not 2. The expression is cubic.
(8n2 + n − 4)(6n2 − 6n − 4)
48n4 − 42n3 − 62n2 + 20n + 16
Simplify:
(8x4 +11x3 - 6x + 5) + 2(-5x + 2x2 + 10 - 6x4)
-4x4 + 11x3 + 4x2 - 16x + 25