Adding/Subtracting Polynomials
Add the following polynomials
x4+4x4
5x4
Multiply the following polynomials
w2(w2+3)
w4+3w2
Factor the polynomial
15g3-5g
5g(3g2-1)
Name the degree and number of terms of this polynomial:
x3-7x2+4x5-19x7
7th degree polynomial in 4 terms
z=(4a)/3
solve for a.
a = (3z) / 4
Add the following polynomials
(x2-3)+(3x2+7)
4x2+4
Multiply the following polynomials
r2(7r3-3r+9)
7r5-3r3+9r2
Factor the polynomial
3g5+9g3-18g2
3g2(g3+3g-6)
Classify this polynomial using degree and number of terms:
2x3+3x-7
Cubic Trinomial
If u = 3a + 3 , solve for a.
a = (u - 3) / 3
Subtract the following polynomials
(a3-2a2)-(4a3+3a2)
-3a3-5a2
Multiply the following polynomials
(9m-3)(2m+3)
18m2+21m-9
Factor the polynomial
t2-11t+24
(t-3)(t-8)
Classify by degree and number of terms:
10
Constant Monomial
u = ka - b , solve for for a.
a = (u + b) / k
Add the following polynomials
(-9k3-3k2h+h4)+(k3-7kh2+4h4)
-8k3-3k2h-7kh2+5h4
Multiply the following polynomials
(3r2+5)2
9r4+30r2+25
Factor the polynomial
6x2+x-12
(2x+3)(3x-4)
Write the polynomial in Standard form and state the coefficient on the quadratic term.
6x3-3x+12x5+x4
12x5+x4+6x3-3x
0 is the coefficient on the quadratic term, 0x2.
xm = p - n + yx
Solve for x.
x = (p - n) / (m - y)
Subtract the following polynomials
(3-6n5-8n4)-(-6n4-3n-8n5)
2n5-2n4+3n+3
Multiply the following polynomials
(t2+4)(t3+6r-3)
t5+6t2r+4t3-3t2+24r-12
Factor the polynomial
4x2+22x+10
2(x+1)(x+5)
True or False, If false, correct the statement.
Polynomials can have constants, variables and exponents all of which must be integers.
FALSE, Polynomials have real number coefficients and non-zero integer exponents of the form
a_nx^n+a_(n-1)x^(n-1)+...+a_1x+a_0
z = (am + p) / (an)
Solve for a.
a = p / (zn - m)