We shall learn how to factor polynomials using.

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Presentation transcript:

We shall learn how to factor polynomials using. Learning Objective We shall learn how to factor polynomials using. CFU What are we going to learn today? Activate Prior Knowledge CFU A-explain to B how to use GCF? 2. 3. 1. Connection: Students, you already know how to use the division property, Today we will use the same property to learn factoring technique.

Polynomial:- (poly meaning "many") consisting of several terms. Concept Development Polynomial:- (poly meaning "many") consisting of several terms. Recall that if a number is divided by any of its factors, the remainder is 0. Likewise, if a polynomial is divided by any of its factors, the remainder is 0. The Remainder Theorem states that if a polynomial is divided by (x – a), the remainder is the value of the function at a. So, if (x – a) is a factor of P(x), then P(a) = 0. CFU: What is Synthetic Division? Academic Vocabulary Polynomial, GCF, Remainder Theorem

We shall learn how to factor polynomials using. Concept Development We shall learn how to factor polynomials using. Explain steps 1-5 to B? Explain steps 6-10 to A?

We shall learn how to factor polynomials using. Concept Development We shall learn how to factor polynomials using.

We shall learn how to factor polynomials using. Concept Development We shall learn how to factor polynomials using.

We shall divide polynomials using synthetic division. Concept Development We shall divide polynomials using synthetic division. How to Divide Polynomials Using Synthetic Division Note: For synthetic division to work, the polynomial must be written in standard form, using 0 and a coefficient for any missing terms, and the divisor must be in the form (x – k).

We shall divide polynomials using synthetic division. Concept Development We shall divide polynomials using synthetic division.

We shall divide polynomials using synthetic division. Concept Development We shall divide polynomials using synthetic division.

We shall divide polynomials using synthetic division. Concept Development We shall divide polynomials using synthetic division.

We shall divide polynomials using synthetic division. Concept Development We shall divide polynomials using synthetic division.

Relevance Synthetic division is used when trying to find the zeros of the polynomial, which are the points where a graph crosses the x-axis on a Cartesian Coordinate System. It is used only when dividing by, x - n. Synthetic division will help you work long division on polynomials in higher math courses or in college.

CFU: What did you learn today? Closure CFU: What did you learn today? Independent Practice/Periodic Reviews