Polynomials Vocab
x + 7
1.Write the polynomial in standard form:
2. Leading coefficient:
3. Constant:
4. Degree:
5. Classify by Degree:
6. Classify by # of terms:
1.Write the polynomial in standard form: x + 7
2. Leading coefficient: 1
3. Constant: 7
4. Degree: 1
5. Classify by Degree: Linear
6. Classify by # of terms: Binomial
g(x) = 4x + 9 f(x) = x - 4
Using the function above, simplify the expression below:
g(x) + f(x)
5x + 5
Factor completely
x2+11x+30
(x + 6) ( x + 5 )
Factor Completely
12x2 +14x + 4
2(3x+2)(2x+1)
Factor Completely
x2 - 16
(x - 4)(x +4)
7a - 2a2 + 9
1.Write the polynomial in standard form
2. Leading coefficient
3. Constant
4. Degree
5. Classify by Degree
6. Classify by # of terms
1.Write the polynomial in standard form: - 2a2 +7a + 9
2. Leading coefficient: -2
3. Constant: 9
4. Degree: 2
5. Classify by Degree: Quadratic
6. Classify by # of terms: Trinomial
h(x) = x2 +4x + 3 j(x) = 4x - 3
Use the functions above to simplify the expression below:
h(x) - j(x)
x2 +8x + 6
Factor completely
x2 - 3x - 40
(x - 8) (x +5)
Factor Completely
5x2 + 16x + 3
(5x + 1) ( x + 3)
Factor Completely
144 - a2
(12 - a) (12 + a)
-5a4
1.Write the polynomial in standard form
2. Leading coefficient
3. Constant
4. Degree
5. Classify by Degree
6. Classify by # of terms
1.Write the polynomial in standard form: -5a4
2. Leading coefficient: -5
3. Constant: 0
4. Degree: 4
5. Classify by Degree: 4th degree
6. Classify by # of terms: monomial
f(x) = 5x2 - 8x + 9 g(x) = 6x + 2
Use the functions above to simplify the expression below:
f(x) - g(x)
5x2 -14x + 7
Factor completely
x2 - 9x+ 14
( x - 7) (x - 2)
Factor Completely
3a3 + 7a2 + 2a
(a + 2) (3a + 1)
Factor Completely
9a2 - 100b2
(3a - 10b) (3a + 10b)
-8 + 2k3
1.Write the polynomial in standard form
2. Leading coefficient
3. Constant
4. Degree
5. Classify by Degree
6. Classify by # of terms
1.Write the polynomial in standard form: 2k3 - 8
2. Leading coefficient: 2
3. Constant: - 8
4. Degree: 3
5. Classify by Degree: Cubic
6. Classify by # of terms: Binomial
f(x) = 5x2 - 8x + 9 g(x) = 6x + 2
Use the functions above to simplify the expression below:
g(x) * f(x)
30t3 +38t2 -38t + 18
Factor completely
x2+2x - 35
(x + 7) (x - 5)
Factor Completely
12a3- 22a2-4a
2a(6a+1)(a - 2)
Free 400 Points!
YAY!
Write a cubic binomial with a leading coefficient of -7
Sample Answer:
-7x3 - 5x
f(x) = 5x2 - 8x + 9 g(x) = 6x + 2
Use the functions above to simplify the expression below:
[g(x)] 2
36x2+24x+4
Factor completely
x2+31x+12
Not Factorable
Factor completely
a3b+ 6a2b2+9ab3
ab(a+3b)(a+3b)
Factor Completely:
9x3+ 27x
9x ( x2 + 3)