Adding and Subtracting Polynomials
Simplify:
(4x + 9) + (x - 4)
5x + 5
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
To factor the trinomial x2+8x+16 you find two numbers that add to 8 but multiply to this...
What is 16?
The result of factoring:
3x2 + 20x + 12
What is
(3x+2)(x+6)?
The result of factoring:
x2 - 25
What is
(x - 5)(x + 5)?
Name the TYPE of polynomial (based on the number of terms):
x3 + 8
binomial
Simplify:
(x2 +3x + 5) + ( x2 +6x)
2x2 + 9x + 5
Multiply the Polynomials:
(4n - 1)(3n + 4)
12n2 + 13n - 4
The result of factoring:
x2 + 8x + 12
What is
(x + 2)(x + 6)?
The result of factoring:
3x2 - 19x - 14
What is
(3x + 2)(x - 7)?
The result of factoring:
16x2 - 9
What is
(4x + 3)(4x - 3)?
What is the DEGREE of the polynomial?
8x4 − 4x2 + 27
Degree of 4 (quartic)
Simplify:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Multiply the Polynomials.
(2x - 6)2
4x2 - 24x + 36
The result of factoring:
x2 - 6x + 8
What is
(x - 4)(x - 2)?
The result of factoring:
4x2 + 24x + 32
What is
4(x + 2)(x + 4)?
The result of factoring:
100 - 36x2
(10 - 6x)(10 + 6x)
Name the TYPE AND DEGREE
8x + 64
Linear (degree 1) and binomial
Simplify:
(2x2 - 3x +11 ) - (x2 -2x + 4)
x2 - x + 7
Multiply the Polynomials:
(x+5)(2x2-5x+8)
2x3+5x2-17x+40
The result of factoring:
x2 - 10x - 24
What is
(x - 12)(x + 2)?
The results of factoring:
8x2 + 18x + 9
What is
(4x + 3)(2x + 3)?
The result of factoring:
2x2 - 200
What is
2(x - 10)(x + 10)?
Name the leading coefficient
-27x2 − 2x + 125
LC: -27
Simplify:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
Multiply the Polynomials:
(x - 1)(−8x2 − 6x − 12 )
-8x3 + 2x2 - 6x + 12
The result of factoring:
x2 + 4x + 4
What is
(x + 2)2?
The result of factoring:
16x2 - 8x + 1
What is
(4x - 1)2?
The result of factoring:
-12x2 + 27
What is
-3(2x - 3)(2x + 3)?
Name the DEGREE, LEADING COEFFICIENT, and CONSTANT. (Hint: Make sure it's in Standard Form.)
-125x3 + 216 - 4x - 19x5 + 35x
-19x5 - 125x3 + 31x + 216
Quintic (degree 5) polynomial
LC: -19, Constant: 216