Problem 2
The middle term of each trinomial has been rewritten. Now factor by grouping. $$ \begin{aligned} 6 x^{2}+13 x+6 \\ =6 x^{2}+9 x+4 x+6 \end{aligned} $$
Problem 2
list all pairs of integers with the given product. Then find the pair whose sum is given. Product: \(18 ; \quad\) Sum: 9
Problem 3
list all pairs of integers with the given product. Then find the pair whose sum is given. Product: \(-24 ; \quad\) Sum: \(-5\)
Problem 4
Find the greatest common factor for each list of numbers. \(15,30,45,75\)
Problem 7
Find the greatest common factor for each list of terms. \(16 y, 24\)
Problem 15
An expression is factored when it is written as a product, not a sum. Which of the following are not factored? \(2 k^{2}(5 k)\)
Problem 23
Complete factoring by writing polynomial as the product of two factors. \(6 m^{4} n^{5}\) \(=3 m^{3} n\) ( ______ )
Problem 33
Write in factored form by factoring out the greatest common factor. \(x^{2}-4 x\)
Problem 34
Find the value of the indicated variable. Find \(c\) so that \(4 m^{2}-12 m+c\) factors as \((2 m-3)^{2}\)
Problem 39
Write in factored form by factoring out the greatest common factor. \(16 z^{4}+24 z^{2}\)