Adding, Subtracting & Multiplying Polynomials
Simplify. Write each answer in standard form.
(3z^2+2z+1)+(z^2+z+1)
4z^2+3z+2
Find the GCF of the terms of each polynomial and the factor.
2x^2-8
GCF=2
2(x+2)(x-2)
Simplify. Write answer in standard form.
(2x^2+x+2)+(-x^2-x-1)
x^2+1
Simplify each product. Write in standard form.
-2t(t-3)
-2t^2+6t
Factor
x^2+x-2
(x+2)(x-1)
Simplify the product. Write in standard form
(x+1)(2x-3)
2x^2-x-3
Simplify. Write each answer in standard form.
(z^4+2z^2+4z)-(z^4-3z^2+5)
5z^2+4z-5
Factor
2g^2-8gh+8h^2
2(g-2h)(g-2h)
or
2(g-2h)^2
Write in Standard Form. Then name each polynomial based on its degree and number of terms?
2xy+x^2+y^2
Quadratic Trinomial
Simplify the following product.
(c+2d)^2
c^2+4cd+4d^2
Factor
10x^3-15x^2-4x+6
(2x-3)(5x^2-2)
Determine the GCF:
3x^4+9x^3+27x^2
3x^2
What is the total surface area of a cylinder? Given that the radius is x+2 and the height is x+5.
Write the answer as polynomial in standard form in terms of pi.
4pix^2+22pix+28pi
Determine the possible length and width of the square if the given area is equal to
81s^2+90st+25t^2
L=(9s+5t)
W=(9s+5t)
Factor
2x^3+3x^2-5x+8x^2y+12xy-20y
(2x+5)(x-1)(x+4y)