Adding and Subtracting Polynomials
(3x+1)-(4x-2)
-x+3
6v(2v+3)
12v2 +18v
2x(4x3-5)
8x4-10x
(4n+1)(2n+6)
8n2+26n+6
What is the Degree, Type of line, and type of polynomial?
(Type of lines-constant, linear, quadratic, cubic)
(Type of polynomial- mono, bi and tri)
2n4+3x2-1
Degree: 4
Quadratic
Trinomial
(4x2-7)+(3x+4)
4x2+3x-3
2x(-2x-3)
-4x2-6x
-7x(20x2-3x)
-140x3+21x2
(8p-2)(6p+2)
48p2+4p-4
Mono is 1 term, bi is 2 terms, and tri is 3 terms
(4x2+3x-2)+(-2x-10)
4x2+x-12
4(12k2+18k)
48k2+72k
8x2(-5x4+3x2-3)
-40x6+24x4-24x2
(7k-3)(k2-2k+7)
7k3-17k2+55k-21
A monomial of degree 7 and a leading coefficient of -3?
-3x7
(7x7+6x3-x-17)-(8x7-x4-2x+1)
-x7-x4+6x3+x-18
8(4x2+16x-7)
32x2+128x-56
(x-3)(6x-2)
6x2-20x+6
(2r-4)(7r2-6r-6)
14r3-40r2+12r+24
What is the shape of a quadratic line?
Looks like a U.
Or a parabola(double points)
(x-7x2+3-2x6)+(14-x3+2x2+x+17)
-2x6-x3-5x2+2x+34
6x(7x2-11)
42x3-66x
(2n+2)(6n+1)
12n2+14n+2
(n2+6n-4)(2n-4)
2n3+8n2-32n+16
How do you know if an expression is a polynomial?
The expression contains more than 2 terms