When factoring a trinomial, what is the first thing you look at to determine the signs of the two binomial factors?
look at the 2nd sign in the trinomial
100
Factor: x2 + 23x + 42
(x+21)(x+2)
100
Factor: 3x2 + 16x + 5
(3x+1(x+5)
100
Factor: 18x2 - 33x + 12
3(3x-4)(2x-1)
100
Solve: 3x - 7 = 11
6
200
What is the importance of the 2nd sign of the trinomial?
It tells us the signs of the 2 binomial factors. If it is a + sign, it tells us both signs will be whatever the 1st sign is. If it is a - sign, it means that there will be one + and one -.
200
Factor: h2 - 14h - 72
(h-18)(h+4)
200
A garden is rectangular in shape. Its area is 8g2 - 14g + 3. If its length is (2g-3), what is its width?
(4g-1)
200
Factor: 8x2 - 36x - 20
4(2x+1)(x-5)
200
Solve: 2x + 8 = 5x - 7
5
300
When factoring ANY trinomial, what must you check for?
To see if a greatest common factor (GCF) can be factored out.
300
Factor: m2 + 24m - 81
(m-3)(m+27)
300
Factor: 8x2 + 2x - 1
(4x-1)(2x+1)
300
Factor: 30x2 + 14x - 8
2(3x-1)(5x+4)
300
Solve the system of equations using substitution: 3y + 2x = 32 and x = 7
(7,6)
400
When factoring a trinomial that has a lead-coefficient, and no GCF, what is the first-step you must take to begin factoring the trinomial?
Multiply the lead-coefficient and the constant (a * c)
400
A rectangular patio has an area of x2+14x+48. If the length of it is (x+8) what is the width?
(x+6)
400
What is the area of a rectangle with a length of (4x+4) and a width of (7x-5)?
28x2 + 8x - 20
400
Factor: 24x2 + 52x - 20
4(2x+5)(3x-1)
400
What is the slope and y-intercept of -2y = 8x - 10
slope is -4 and y-intercept is 5
500
John factored n2 - 6n + 9 to be (n-3)(n+3). Find his error.
it should be (n-3)(n-3)
500
A rectangular window has an area of c2-9c-52. What are the possible dimensions of the window?
(c-13)(c+4)
500
A table has an area of 27x2 + 6x - 8. What are the dimensions of the table?
(9x-4)(3x+2)
500
Factor: 24x2 + 96x + 90
6(2x+3)(2x+5)
500
Solve the system of equations using the elimination method: 2x + y = 9 and 3x - y = 16