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Polynomial Factorization (Algebra II) - Coggle Diagram
Polynomial Factorization (Algebra II)
Already know how to:
factor out GCF (greatest common factor)
factor the difference of two perfect squares
a^(2) - b^(2) = (a + b)(a - b)
factor trinomials of the form ax2 + bx + c with a lead
coefficient of 1
New information:
factoring by grouping
Factor out GCF
Split the middle term into two terms
Rewrite the pairs of terms and take out the common factor
factoring the sum and difference of cubes
Sum formula
a^(3)
+
b^(3) = (a
+
b)(a^(2)
-
ab
+
b^(2))
Difference formula
a^(3)
-
b^(3) = (a
-
b)(a^(2)
+
ab
+
b^(2))
Finding zeros (x-intercepts) using factoring
Set each factor equal to zero and solve to find the x- intercepts
Factor Definition
a number or algebraic expression that divides another number or expression evenly
Polynomial definition
an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables