Factoring trinomials when a=1
Factor into two binomials: x2+10x+25
(x+5)(x+5)
The function g(x) is defined as g(x)=-2x2+3x. The value of g(-3) is?
-27
Factor 3x2-12x
3x(x-4)
Factor completely:
a2b2-144a2
a2(b+12)(b-12)
Factor: x2-16
(x+4)(x-4)
Factor into two binomials: x2-12x+27
(x-9)(x-3)
If C=2a2-5 and D=3-a, then C-2D equals what in standard form?
2a2+2a-11
Factor: 3x4+12x5
3x4(1+4x)
Factor completely: 80-5d2
5(4+d)(4-d)
Factor: 9-x2
(3+x)(3-x)
Factor into two binomials: x2+2x-24
(x+6)(x-4)
The formula for electrical power, P, is P=I2R, where I is current and R is resistance. The formula for I in terms of P and R is?
I=squareroot(p/r)
Factor: 4y3-18y
2y(2y2-9)
Factor completely:
2x2-8x-120
2(x+6)(x-10)
25y2-4k2
(5y+2k)(5y-2k)
Factor into two binomials: x2-5x+6
(x-3)(x-2)
Marilyn collects old dolls. She purchases a doll for $450. Research shows this doll's value will increase by 2.5% each year. Write an equation that determines the value, V, of the doll t years after purchase.
V=450(1+.025)t
Factor: 4ab2-12a2b
4ab(b-3a)
Factor completely: 2x3+14x2-60x
2x(x+10)(x-3)
(1/4)x2-(49/25)
(1/2x-7/5)(1/2x+7/5)
Factor into two binomials: y2-9y+18
(y-3)(y-6)
The senior classes at HS "A" and HS "B" planned separate trips to NYC. The class at HS "A" rented and filled 1 van and 6 buses with 372 students. HS "B" rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry and how many students can a bus carry?
bus: 59 students
12x6+28x4
4x4(3x2+7)
Factor completely:
3x2-24x+45
3(x-5)(x-3)
x2+100
Can not be factored because of the plus sign.