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A number can be factored, so you should be able to factor a polynomial, right. Trinomials with leading coefficients other than 1 are slightly more complicated to factor. For these trinomials, we can factor by grouping by dividing the x term into the sum of two terms, factoring each portion of the expression separately, and then factoring out the gcf of the entire expression. Factoring polynomials is the inverse process of multiplying polynomials. Free algebra and trigonometry book for download openstax.
There are 70 total polynomials for students to factor. The greek mathematician diophantus is often called the father of algebra. A classical approach all of the book chapters below are in pdf format for your convenience. A polynomial of degree 2 is known as a quadratic function. Alg 2 0503 add, subtract, and multiply polynomials. Solve for each variable in the following equations. Polynomials do not have variable denominators or operations such as absolute values or roots. The following is a youtube channel my students use throughout the year. We will add, subtract, multiply, and even start factoring polynomials. Infinite algebra 2 factoring and solving higher degree polynomials. Study algebra online free by downloading openstaxs college algebra book and using our accompanying online resources including an algebra study guide. We then use addition with the factoring tree to find the numbers that add together to equal. This form of division is not too different from long division method, and is known as synthetic division.
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