8.1 Standard Form
Rewrite this polynomial in standard form (descending order)
2x3 + 17x2 - 33 + 9x4
9x4 + 2x3 + 17x2 - 33
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
Multiply the Polynomials:
3x2 (2x4)
6x6
Factor out the GCF
9v-81
9(v-9)
Factor:
b^2 - 9
(b+3)(b-3)
Rewrite this polynomial in standard form (descending order)
5a2 - 6a - 6a4 - 6a9 - 5a7
-6a9 - 5a7 - 6a4 + 5a2 - 6a
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
Factor out the GCF
30x-42
6(5x-7)
Factor:
2x^2 - 8
2(x+2)(x-2)
Rewrite this polynomial in standard form (descending order)
-6a4 + 10a3 + 14a7 - 22a2 + 33
14a7 - 6a4 + 10a3 -22a2 +33
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
Multiply the Polynomials:
(2m - 1)(m + 2)
2m2 + 3m - 2
Factor out the GCF
5a^3+2a^2
a^2(5a+2)
Factor:
4p^2 - 256
4(p+8)(p-8)
Combine like terms and write in Standard form
13k -10k3 + k +1 - 2k3 +9
-12k3 + 14k + 10
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
Multiply the Polynomials:
(4n - 1)(3n + 4)
12n2 + 13n - 4
Factor out the GCF
2b^9-20b^5
2b^5(b^4-10)
Solve by factoring:
x^2 - 25=0
-5,5
Combine like terms and write in Standard form
4x - 9x2 + 4x3 - 5x4 +11 - 4x3 -3x2 - 8x + 4x2
-5x4 - 8x2 - 4x + 11
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
Factor out the GCF
18n^4+42nm+6n
6n(3n^3+7m+1)
Solve by factoring:
5n^2 - 40n = 0
0,8