| Expand Polynomials | Factor Simple/Complex Trinomials | Binomial common Factor/ Factor by Grouping | Factor perfect square Trinomials/ Difference of Squares | Complete the Square/Maximum and Minimum word Problems |
|---|---|---|---|---|
|
x²-7x+12
(x-4)(x-3)
Expand |
(x+1)(2x+3)
2x²+5x+3
Factor |
(X+2)²
Factor
X²+4x+4 |
(r+u) (4s-t)
Factor
4s (r+u) - t(r+u) |
x=2+√2
x=2-√2
Complete the Square
x²-4x+6=0 |
|
15x²-x-6
(3X-2)(5X+3)
Expand |
7cd³(3c³-4cd²+1)
21c^4d³-28c² d^5+7cd³
Factor |
(y+25)(y-25)
Factor
y²-625 |
answers may vary: 6y²+18y³
Write a polynomial with 2 terms that has a GCF of 6y²
|
x=-10 + 2√15
x= -10-2√15
Complete the square
x²+20x+40=0 |
|
42q²-40qr-50r²
42q²-40qr-50r²
(7q+5r)(6q-10r) Expand |
Not Possible
9x²-15ac-4
|
2(5y+3x)(5y-3x)
50y²-18x²
|
13X6= 78
If 4a+7b=13 then what is the value of 24a+42b
|
x=-1+2
x=-1-2
Complete the square
-x²-2x-5=0 |
|
60a³+84a²h+42ab²
3a(4a+2b)(5a+7b)
Expand |
(2x+1)(2x+5)
A Rectangles area is defined by 4x²+12x+5.
Find the Algebraic Formula for the length and the width. |
Since x²=(x)² and 361=(19)²,the first and the product of these square roots share 2(x)(19)=38x. Therefore, x²+38x+361 is a perfect square trinomial.
Verify that x²+38x+361 is a perfect square trinomial .
|
(y-6) (-7x+3)
Factor 7x(6-4) + 3(y-6)
|
124 metres
A bullet is shot upward at an initial speed of 49m/s,from a height of 1.5m above the ground. The height of the bullet in meters after "t" seconds, is modelled by the equation
h= -4.9t²+49t+1.5 What is the maximum height of the bullet above the ground? |
|
d=2000v²+1600v+400
A race car driver is driving on a track with the wind speed of 0.2m/s , if he drives with the wind and an additional speed of "v"m/s, the distance he travels before running out of gas can be modelled by the relation "d=2000 (v+0.2)(1-v).
Expand |
"N=11 and N=13"
Find 2 values of "n" so the Trinomial can be factored.
6a²+nab+5b² |
Vertex = (-4,0)
A parabola has an equation y=x²+8x+16. Rewrite it in factored form to find the coordinates of the vertex.
|
(4v-1)²
Factor by grouping
16v²- 4v- Vv+1 |
x= -25.08
Complete the square
x²+26x+23=0 |
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