Name/Degree
Name the polynomial and find the degree of the polynomial.
4b
Monomial; 1
Write each polynomial in standard form. Identify the leading coefficient.
3x+2x^2
Leading Coefficient: 2
2x^2+3x
Find the difference.
(12x^2 +5x)-(10x^2+2x)
2x^2+3x
(x+3)(x-3)
x^2-9
Solve for x.
3x^2-5+x^2=4x^2 +1 +x
x=-6
What is the degree and leading coefficient of the polynomial?
-3x^4y+3
Degree: 5
Leading Coefficient: -3
Name the polynomial and find the degree of the polynomial.
2x-4z^2+5
Trinomial; 2
Write each polynomial in standard form. Identify the leading coefficient.
5x^2+17x-23x^3
Leading Coefficient: -23
-23x^3+5x^2+17x
Find the sum.
(2x^2+5x-7)+(-4x^2+6x+3)
-2x^2+11x-4
(5a+2)(3a-4)
15a^2-14a-8
Solve for x.
-6(11-2c)=7(-2-2c)
x=2
(2x+2)2
4x2+8x+4
Name the polynomial and find the degree of the polynomial.
(5x^2 +2)/(2b)
Not a polynomial
Write each polynomial in standard form. Identify the leading coefficient.
3(5x^2+2x-4)-x(7x^2+2x-3)
Leading Coefficient: -7
-7x^3+13x^2+9x-12
Find the sum.
(5a^2-4)+(a^2-2a+12)+(4a^2-6a+8)
10a^2-8a+16
(4a+7)(9a^2+2a-7)
36a^3+71a^2-14a-49
Solve for y.
3(y-2)+2y=4y+14
x=20
5w(-3w^2+2w-4)
-15w^3+10w^2-20w
Name the polynomial and find the degree of the polynomial.
(7xy^2+2y-3)+(2-4y+5xy^2)
Trinomial; 3
(3b^3-4b-7)(2b^2-b-9)
6b^5-3b^4-35b^3-10b^2+43b+63
6
(3n^3+3n-10)-(4n^2-5n)+(4n^3-3n^2-9n+4)
7n^3-7n^2-n-6
(x^2+5x-1)(5x^2-6x+1)
5x^4+19x^3-34x^2+11x-1
Solve for a.
a(a+3)+a(a-6)+35=a(a-5)+a(a+7)
a=7
-3(5x^2+2x+9)+x(2x-3)
-13x^2-9x-27
Name the polynomial and find the degree of the polynomial.
15t(10y^3t^5+5y^2t)-2y(yt^2+4y^2)
Trinomial; 9
Write each polynomial in standard form. Identify the leading coefficient.
-2x^2y+3xy^2-4x^2y+2x^2y
Leading Coefficient: -4
-4x^2y+3xy^2
(4x ^2 + 7x ^3 y^ 2 ) − (−6x^ 2 − 7x^3 y ^2 − 4x) − (10x + 9x^ 2 )
14x ^3 y^ 2 + x^ 2 − 6x
3xy ^5(2x^ 2 - 8xy - 2y ^2)
6x^ 3y ^5 - 24x ^2y ^6 - 6xy^ 7
Solve for n.
n(n-4)+n(n+8)=n(n-13)+n(n+1)+16
n=1
2y^2(3y^2-5y+2)+3y(3y^2-5y+2)-1(3y^2-5y+2)
6y^4-y^3-14y^2+11y-2