Math - 2019-20
A.2c - Factoring Polynomials
A.2 The student will perform operations on polynomials, including
c) factoring completely first- and second-degree binomials and trinomials in one variable.
- I can design the track of a
roller coaster, determine the sloped curve of an exit ramp, and understand the
mechanics of controllers like autopilot, cruise
control, and a living room thermostat.
- I will apply mathematical processes for basic operations
to algebraic expressions and divide algebraic terms out of algebraic expressions.
UNDERSTANDING THE STANDARD
· Factoring reverses polynomial multiplication.
· Trinomials may be factored by various methods including factoring by grouping.
factoring by grouping
2x2 + 5x – 3
2x2 + 6x – x – 3
2x(x + 3) – (x + 3)
(x + 3)(2x – 1)
· Prime polynomials cannot be factored over the set of integers into two or more factors, each of lesser degree than the original polynomial.
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to
completely first- and second-degree polynomials in one variable with integral
coefficients. After factoring out the greatest common factor (GCF), leading
coefficients should have no more than four factors.
and verify algebraic factorizations
of polynomials with a graphing utility.
monomial expression, ratio, exponents, integers,
sums, difference, product, quotient, polynomial, operations, concrete,
pictorial, factors, factor, binomial, divisor, degree, integral coefficients,
prime, x-intercepts, graphical representation