Vocabulary
The largest factor that all the numbers share in an equation.
Greatest common factor
What is step three for the grouping method?
Group the first two terms together and then the last two terms together.
What is step three when using find the greatest common factor method?
Factor by grouping.
The top of a cosmetics case is a rectangle in which the width is 2 centimetres greater than the length. The expression x2+26x+168 represents the are of the top of the case. Factor the expression.
(x+14)(x+12)
which expression does not belong?
x2+2x-24
x2+11x+24
x2-10-24
x2-12x 24
x2+12x+24
To express a number as a product of other whole numbers.
Factoring
3a3 + 12a2 + a + 4
(Solve using grouping method)
(a + 4)(3a2 + 1)
4x3−2x2+6x
(solve using the greatest common factor method.)
2x(2x2−x+3)
A square has an area of 9x2+30xy+25y2 square inches. The dimensions are binomials with positive integer coefficient What is the perimeter of the square.
4(3x+5y) or (12x+20y)
16x3−48x2+32x
16x(x−2)(x−1)
containing one term.
monomial
What is step one for the grouping method?
Group the first two terms together and then the last two terms together.
What is step one of the greatest common factor methods?
Find the greatest common factor of two or more expressions
A rectangular garden is being separated into 6 equal sections for different types of flowers. The area of the garden is (12x+30) square meters. What is the area of each section of the garden
(2x+5)
a3b2+a4b+a2bc3−a3b3c2
a2b(ab+a2+c3−ab2c2)
Containing three terms.
Trinomial
What is step two of the grouping method?
Factor out a GCF from each separate binomial.
x2 + 9x + 14
(solve using greatest common factor method)
(x + 7)(x + 2)
A ticketing company for sporting events analyzes the ticket purchasing patterns. The expression 9a2-4b2 is developed to help officials calculated the likely number of people who will buy tickets for a certain sporting event. Factor the expression.
(3a+2b)(3a-2b)
x2y3z2+x4y3z
x2y3z(z+x2)
Containing two monomials.
Binomial
3n3 + 2n2 - 3n - 2
(Solve using grouping method)
(n + 1)(n - 1)(3n + 2)
What is step two of the greatest common factor method?
Factor the greatest common factor from a polynomial.
The area of a rectangular parking lot is represented by the expression a2-25, where the length is longer than the width. Factor the expression to determine the possible dimensions of the length and width of the parking lot. If the length of the parking lot is 105 yards, what is the width of the parking lot?
(a-5)(a+5)
95 yards
x2+20x+96
(x+12)(x+8)