Characteristics
Classify the Polynomial: 5z + 2z2 – 3z3
Mono, Bi, Tri?
Trinomial
(5y + 4) + (-2y + 6)
3y+10
Factor: x2+7x+10
(x+2)(x+5)
(x+7)(x–3)=0
x=–7, x=3
Let f(x) = 4x2 – 3x + 9
and g(x) = 6x2 + 5x – 12.
Find (f – g)(x).
–2x2 – 8x + 21
What is the degree of the Polynomial: 5z + 2z2 – 3z3
3
(2n2 – 5n – 6) + (–n2 – 3n + 11)
n2 – 8n + 5
Multiply: (x+3)(x+6)
x2+9x+18
(2x–4)(x+9)=0
x=2, x=–9
A rectangle has a length of (3x – 7) feet and a width of (2x + 5) feet. What is the area of the rectangle? Area = Length * Width.
6x2 + x – 35
What is the Lead Coefficient of: 5z + 2z2 – 3z3
-3
(d – 9) – (3d – 1)
–2d – 8
Factor: x2–5x–24
(x+3)(x–8)
2x(x–5)=0
x=0, x=5
A rectangle has a length of (3x – 7) feet and a width of (2x + 5) feet. What is the perimeter of the rectangle? Perimeter = 2Length + 2Width. Or add all sides.
10x – 4
Write the Polynomial in Standard Form: 5z + 2z2 – 3z3
–3z3 + 2z2 + 5z
(–r – 10) – (–4r3 +r2 +7r)
4r3 – r2 – 8r – 10
Multiply: (2x–3y)(–4x+5y)
–8x2+22xy-15y2
4x(3x–9)(5x+5)=0
x=0, x=3, x=–1
A rectangle has an area of 6x2 + x – 35 feet and a height of (x+1). What is the volume of the rectangle? Volume = Length * Width * Height. Or Volume = Area * Height
6x3 + 7x2 – 34x –35
What is the degree of this polynomial: 5x + 2x2 – 3x3 + 5x5 + 2x21 – 3x4
21
(–x2 +9xy) – (x2 + 6xy –8y2)
–2x2 + 3xy + 8y2
Factor: x2+9x-36
(x–3)(x+12)
x2 – 2x – 15 = 0
x = –3, x = 5
The cost (in dollars)of making b bracelets is represented by 4 + 5b. The cost (in dollars) of making b necklaces is represented by 8b + 6. Write a polynomial that represents how much more it costs to make b necklaces than b bracelets.
3b + 2