Writing equations
Name the polynomial by its degree and no. of terms
7x4- 3x+2x-1
Quartic and 4 term polynomial
Subtract
(x2 - 8) - (3x3 - 6x - 4 + 9x2)
-3x3 - 8x2 +6x - 4
Find out the factors for
x3 +x2 -12x
x (x+4) (x-3)
Factor
x2-9
Use synthetic division
3x3- - 4x2 + x - 16 / x-2
3x2 + 2x + 5 + (-6)/ X-2
Give an example for cubic trinomial
ax3+bx+c
Or whatever with cube in its degree and should have 3 terms.
Add
(2x2 -7x + 5x4 +4x3 - 11)+( 6x3 + x4 -3x2 + 10x)
6x4 + 10x3 - x2 +3x - 11
(3x) (2y)
6xy
Factor
x3 + x2 - 2xx (x-1) (x+2)
Solve the following
(3x2 +3x -12) / (x + 2)
3x - 3 + (-6)/ x+2
Give the equation
Translated 10 units down, and 3 units to left
y= (x+3)3-10
Subtract the polynomial
(-x2-5)-(-3x2 - x-8)
2x2 +x+3
Factor
6x2+ 5x - 4
(2x - 1) (3x + 4)
Factor the following binomial bu using suitable method
5y2-22y+8
(5y - 2) (y - 4)
Use long division to find the remainder and quotient
Divisor : x-3
Dividend: x2 +2x +6
Quotient : x+5
Remainder : 21 or 21/x-3
What is called the number in front of the term with the highest co-efficient
Leading coefficient
Subtract the polynomial
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
Multiply
4x (x-2)2
4x3−16x2+16x
Factor the following
(8x4 + 8x3 +27x+27)
(3x+4) (9x2 +12x +16) (x+1)
Is (x+5) a factor of (2x2 -6x -1). If yes find the other factor for that
NO
Write the equation of the cubic function
Stretched vertically by 3 which is shifted right by 4 units and then up to 1 point and reflected over x axis.
y= -3 (x-4)3 +1
Add the following
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Multiply
(d+3) (d2-4d+1)
d3-d2 -11d +3
Factor the following
12x3 - 9x2+32x - 24
Divide the following by long division method
x4-10x2+11
x3 - x2 -9x +9 +2/(x+1)