LESSON Operations with Polynomials You probably recall that the terms of a polyn

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LESSON Operations with Polynomials You probably recall that the terms of a polynomial are separated w signs. The linear expressions 2x and 3x + 1 are ex polynomials, respectively. The quadratic expression x4x 3 is a polynomial w three terms. A polynomial can have any number of terms. In this lesson you wil th plus and minu amples of one- and two-term concentrate on polynomials of up to five terms. Polynomial of terms Degree Description ax+bx+ cx+ dx + e 5 quartic, polynomial cubic, polynomial quadratic, polynomial linear, binomial, polynomial linear, monomial, polynomial constant, monomial, polynomia ax2 + bx + c ax + b kx In each polynomial in the table, the exponent of x decreases as you move to t term. This is the general form of a polynomial. The exponent of the variable degree of the term. The degree of a polynomial is the largest degree of the in terms in the polynomial. In the next example you'll review how to add or subtract two polynomials e their degrees differ. EXAMPLE A |Find the sum and difference of the polynomials 2x+5x-11x- 4 ar x+x-3 Terms of the same degree, called like terms, can be combined. (2xx 11x +4) + (2x+x-3) 2x+7x' - 10x + 1 (2r' + 5x2-11x + 4) _ (2x2 + x-3)-(2e +5e-11x + 4) + (- Note that the subtraction was rewritten as addition by changing the Solution| 2x 3x-12x +7 term being subtracted

Explanation / Answer

In the lesson "Operations with polynomials", you will know that how to add, subtract, multiply and divide polynomials.

You have to first know some more things about polynomials like terms of a polynomial, polynomials cab be added or subtracted within same degree only.

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