Adding Polynomials
Add the following polynomials. Write your final answer in standard form.
(13x^2-2x+1)+(9x^2-7)
22x^2-2x-6
Subtract the following polynomials
(5x^2-7x+3)-(4x^2-3x-9)
x^2-4x+12
What expression is equivalent to
(-2x^4)^2
4x^8
Write a 6th degree trinomial with a leading coefficient of 4 and a constant of -5
4x^6-x-5
(answers may vary)
Write a 5th degree polynomial with a leading coefficient of 7 and a constant of 6
7x^5+6
(Answers may vary)
Add the following polynomials. Write your final answer in standard form.
(-x^3+8x^2-5)+2(10x^3-x^2+1)
19x^3+6x^2-3
Subtract the following polynomials
2(x^2+3x-2)-(x^2+6x+3)
x^2-7
What is
(2x-3)^2
in standard form
4x^2-12x+9
If C= 2a^2-5 and D= 3-a then C-2D in standard form equals
2a^2+2a-11
What trinomial is equivalent to
3(x-2)^2-2(x-1)
3x^2-14x+14
Add the following polynomials. Write your final answer in standard form.
3(2x^2-10x+2)+2(4x^3-2x^2-5x-1)
8x^3+2x^2-40x+4
If A=3(3x^2+2x-7) and B=
2(x+3-5x^2)
then what is A-B?
19x^2+4x-27
The expression (2x+1)^2-2(2x^2-1) is equivalent to
4x+3
If A=
3x^2+5x-6
and B=
-2x^2-6x+7
then A-B is
5x^2+11x-13
Which of these expressions are equivalent to 8x^3y^6
I. (2xy^2)^3
II. (2x)^3y^6
III. (2x^2y^2)(4xy^3)
I and II only
What is the sum of
2(3x^2+4x-6)
and
3(3x+5x^2-10)
21x^2+17x-42
Subtract
7x^2+3x-1
from
2x^2-4x-5
-5x^2-7x-4
What is the product of 2x+3 and 4x^2-5x+6 in standard form
8x^3+2x^2-3x+18
Given A=
x+5
and B=
x^2-18
. Express
A^2+B
in standard form.
2x^2+10x+7
If y= 3x^3+x^2-5 and z=x^2-12 what polynomial is equivalent to 2(y+z)
6x^3+4x^2-34
What polynomial is twice the sum of 4x^2-x+1 and
-6x^2+x-4
-4x^2-6
If C=G-3F, find the trinomial that represents C when F= 2x^2+6x-5
and G= 3x^2+4
-3x^2-18x+9
Simplify
(x+3)^2*(x-1)
x^3+5x^2+3x-9
Which of these are equivalent?
I. -4x^3+x^2-6x+8
II. -4(x^3-2)+x(x-6)
III. x(-4x^2-x+6)+8
IV. x^2(-4x+1)-2(3x-4)
I, II, and IV
If the difference
(3x^2-2x+5)-(x^2+3x-2)
is multiplied by
1/3x^2
what is the result in standard form
x^4-2.5x^3+3.5x^2