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vocab
add/subt. polynomials
multiply polynomials
zero's/roots/intercepts
completing the square
100
what is a binomial? give an example
a polynomial with two terms ex: 3x+7
100
solve (6x+2)+(5x-7)
11x-5
100
Solve (3x+4)(2x+1)
6x²+11x+4
100
solve: f(x)=(x²+6x+9)
(x+3)²
100
solve: a^2 +2a−3=0
1, −3
200
what is a degree of a polynomial? give an example
The highest degree of any term of the polynomial ex: f(x)=x⁶+4x³-7 has a degree of 6
200
solve (4x²-2x)+(x+7x)
x(4x+6)
200
solve: (7x²+6)(9x-7)
63x³-49x²+54x-42
200
f(x)=(2x-1)(x-5)
(½,5)
200
solve: p^2 +16p−22=0
1.27, −17.27
300
define factoring
Factoring is rewriting an expression as the product of its factors.
300
solve: (7x-3)-(x²+4x)
-x²+3x-3
300
solve: (3x-8)(2x-4)
6x²-28x+32
300
f(x)=(x−3)(3x+1)(x+1)
(3,-⅓,-1)
300
solve: a^2 −2a−48=0
8, −6
400
what is the quadratic formula
x=-b±√b²-4ac all over 2a
400
Solve: (7x²+8)-(18x²+11x)
8-11x(x+1)
400
solve: (2x²-5x)(9x²+6x+4)
18x⁴-33x³-22x²-20x
400
f(x)= (2x+1)(x+1)(x−1)
-½,-1,1
400
solve: m^2 +10m+14=−7
−3, −7
500
what is the quadratic equation? give an example
ax²+bx+c=0 ex: 18x²+6x+9=0
500
solve: (4x²+3x+1)+(11x³+6x-6)
11x³+4x²+9x-5
500
solve: 5x²y(7x² – 4xy² + 2y³)
35x⁴y-20x³y³+10x²y⁴
500
solve: f(x)=3x2+2x−1
±1,± 1/3
500
solve: 5n^2 +19n−68=−2
2.2, −6