Factoring Prime Factorization of a Monomial Example1
Factor –28 a2b3completely.
–28a2b3
= -1 × 28 × a × a × b × b × b Express -28 as -1 times 28 and a2b3
= a × a × b × b × b
= -1 × 2 × 2 × 7 × a × a × b × b × b 28 = 2 × 2 × 7
Thus, –28 a2b3in factored form is -1 × 2 × 2 × 7 × a × a × b × b × b. Read more on Prime Factorization of a Monomial
Use the Distributive Property
Example 1
Use the Distributive Property to factor each polynomial.
a. 28pq – 21p2 q
First, find the GCF of 28pq and 21p2 q.
 Read more example on Use the Distributive Property
Factoring Trinomials
x 2+ bx + c
To factor a trinomial of the form x2+ bx + c , find two integers, l and m, whose sum is equal to b and whose product is equal to c . Read more on Factoring Trinomials
Factoring Trinomials
ax2+ bx + c
To factor a trinomial of the form ax2+ bx + c , find two integers, l and m whose product is equal to ac and whose sum is equal to b . Read more on Factoring Trinomials
Factoring Differences of Squares
The binomial expression a2 – b2 is called the difference of two squares . It can be factored using the pattern: Read more on Factoring Differences of Squares
Perfect Squares and Factoring
Perfect Square Trinomial: a trinomial of the form a ² + 2 ab + b ² or a ² - 2 ab + b ² is a Perfect Square Trinomial, and is square of a binomial. Read more on Perfect Squares and Factoring
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