MAT 095 Lecture 8: 4.2 Multiplication of Polynomials Notes
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Provide a generalization to each of the terms listed in this section. Tips for solving problems: write all polynomials, multiply all of the terms, add parentheses around the coe cients to each of the like terms, add all of those individual answers together, solve and simplify (if necessary). Example : (5x2 + 4x + 1)(4x + 20) (cid:0)5x2 + 4x + 1(cid:1) (4x + 20) = 20x3 + (100 + 16)x2 + (80 + 4)x + 20. If two terms are being multiplied by two terms, then you can use f oil as one of your methods in solving multiplied polynomials. Tips for solving problems: (a + b)(c + d, first: ac, outer: ad, inner: bc, last: bd, solve and simplify (if necessary). Example : (2x + 4y) (3y + 5x) (2x + 4y) (3y + 5x) = 6xy + 10x2 + 12y2 + 20xy. = 10x2 + 20xy + 6xy + 12y2.
