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High School
Algebra
Domain
Arithmetic with Polynomials and Rational Expressions
Cluster
Understand the relationship between zeros and factors of polynomials.
Standard
Know and apply the Remainder Theorem: For a polynomial
p(x)
and a number
a
, the remainder on division by
x - a
is
p(a)
, so
p(a) = 0
if and only if
(x - a)
is a factor of
p(x)
.
A-APR.B.2. Know and apply the Remainder Theorem: For a polynomial
p(x)
and a number
a
, the remainder on division by
x - a
is
p(a)
, so
p(a) = 0
if and only if
(x - a)
is a factor of
p(x)
.
Graphing from Factors III
The Missing Coefficient
Zeroes and factorization of a general polynomial
Zeroes and factorization of a non polynomial function
Zeroes and factorization of a quadratic polynomial I
Zeroes and factorization of a quadratic polynomial II