Adding Polynomials
Add the polynomials
(7n+2-3n^2)+(3+3n+2n^2)
(-3+2)n^2+(7+3)n+(2+3)
-n^2+10n+5
Subtract the polynomials
(7+7n^3+n)-(7n^3+4-4n)
(7-7)n^3+(1-(-4))n+(7-4)
5n+3
Find the product.
(x-3)(x-5)
x^2-3x-5x+15
x^2-8x+15
Take the square root to find the solution to the quadratic equation
y^2=81
sqrt(y^2)=sqrt(81)
y=+-9
Solve
(x-4)(x+2)=0
x-4=0,x+2=0
x=-2,4
Add the polynomials
(5n+n^4-2n^2)+(3n^2+3n^4+5n)
(1+3)n^4+(-2+3)n^2+(5+5)n
4n^4+n^2+10n
Subtract the polynomials
(2b^4+2-b^2)-(4b^3+6b^2+5)
2b^4-4b^3+(-1-6)b^2+(2-5)
2b^4-4b^3-7b^2-3
Find the product.
(4a-4)(2a+1)
8a^2+4a-8a-4
8a^2-4a-4
Solve by using the square root method
2x^2-6=0
2x^2=6
sqrt(x^2)=sqrt(3)
x=+-sqrt(3)
Solve
(x+3)(x+1)=0
x+3=0,x+1=0
x=-3,-1
Add the polynomials
(8p^2+6p-6)+(7-7p-p^2)
(8+(-1))p^2+(6+(-7))p+((-6)+7)
7p^2-1p+1
Subtract the polynomials
(p^3-p^4-7p^2)-(3p^4-7p^3+7p^2)
(-1-3)p^4+(1-7)p^3+(-7-7)p^2
-4p^4-6p^3-14p^2
Find the product.
(3g+2h)(-5g+6h)
-15g^2+18gh-10gh+12h^2
-15g^2+8gh+12h^2
Solve by using the square root method
(x-3)^2=144
sqrt((x-3)^2)=sqrt(144)
x-3=12, x-3=-12
x=-9,15
Use factoring to solve the quadratic equation
z^2-7z+12=0
z^2-3z-4z+12=0
(z-3)(z-4)=0
z=3,4
Add the polynomials
(n^2+8n^4+4n^3)+(6n+7n^4-4n^2)
(8+7)n^4+4n^3+(1+(-4))n^2+6n
15n^4+4n^3-3n^2+6n
Subtract the polynomials
(8w^3t^2+6wt^2+6w)-(4w^3t^2-2wt^2-3w)
(8-4)w^3t^2+(6-2)wt^2+(6-(-3))w
4w^3t^2+8wt^2+9w
Find the product.
(x+3)(x^2-2x+1)
x^3-2x^2+1x+3x^2-6x+3
x^3+x^2-5x+3
Solve the quadratic equation using the square root method
2(x-5)^2=162
(x-5)^2=81
sqrt((x-5)^2)=sqrt(81)
x-5=9, x-5=-9
x=-4,14
Solve using Factoring
x^2+25x=-100
x^2+25x+100=0
x^2+5x+20x+100=0
(x+5)(x+20)=0
x=-5,-20
Add the polynomials
(6x^2-6-6x^3)+(8x^3-2x^2+6)
(-6+8)x^3+(6+(-2))x^2+(-6+6)
2x^3+4x^2
Subtract the polynomials
(7q^3r^2+14qr^2+21q)-(14q^3r^2-3qr^2-5q)
(7-14)q^3r^2+(14-(-3))qr^2+(21-(-5))q
-7q^3r^2+17qr^2+26q
Find the product.
(2b+7)(2b-7)
4b^2-14b+14b-49
4b^2-49
Solve by using the square root method
(x+3)^2-2=34
(x+3)^2=36
sqrt((x+3)^2)=sqrt(36)
x+3=6, x+3=-6
x=-9,3
Factor the quadratic equation to find the solution
5x^2-10x=9x+4
5x^2-19x-4=0
5x^2+1x-20x-4=0
(5x+1)(x-4)=0
x=-1/5, 4