Midcontinent Research for Education and Learning
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Reference
Common Core Mathematics 912
Cluster
Use polynomial identities to solve problems
Grade 912
A.APR.4.
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x
^{2}
+ y
^{2}
)
^{2}
= (x
^{2}
– y
^{2}
)
^{2}
+ (2xy)
^{2}
can be used to generate Pythagorean triples.
A.APR.5.
(+) Know and apply the Binomial Theorem for the expansion of (x + y)
^{n}
in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle. [The Binomial Theorem can be proved by mathematical induction or by a combinatorial argument]