Factor 3x2-12x
3x(x-4)
Factor into two binomials: x2+10x+25
(x+5)(x+5)
Factor: x2-16
(x+4)(x-4)
Factor completely: 2x2-72
2(x+6)(x-6)
A math phrase containing numbers, variables, and operators. No equal sign.
Expression
Factor: 4ab2-12a2b
4ab(b-3a)
Factor into two binomials: x2-12x+27
(x-9)(x-3)
Factor: 4x2-25
(2x+5)(2x-5)
Factor completely: 3a2-15a+12
3(x-4)(x-1)
The biggest number that divides exactly into two or more numbers.
Greatest Common Factor
Factor: 6c4-24c3-30c2
6c2(c2-4c-5)
Factor into two binomials: x2+2x-24
(x+6)(x-4)
9-x2
(3+x)(3-x)
Factor completely: a2b2-144a2
a2(b+12)(b-12)
The act of separating an expression into its factors.
Factoring
Factor: 10x2-25y2
5(2x2-5y2)
Factor into two binomials: x2-5x+6
(x-3)(x-2)
Factor: 49x2-16
(7x+4)(7x-4)
Factor completely: 2x3+14x2-60x
2x(x+10)(x-3)
A number that when multiplied with another produces a given number
Factors
Factor: -3x2y-12x3y
-3x2y(1+4x)
Factor into two binomials: x2-8x-48
(x-12)(x+4)
x2+100
Can not be factored because of the plus sign.
Factor completely: 80-5d2
5(4+d)(4-d)
The product of a rational number multiplied by itself
Perfect Square