Precalc0006to0010-page3

# Precalc0006to0010-page3 - 2 ab b 2 a ± b 2 = a 2 ± 2 ab b...

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(Section 0.6: Polynomial, Rational, and Algebraic Expressions) 0.6.3 PART C: CATEGORIZING POLYNOMIALS BY DEGREE Degree Type Examples 0 [Nonzero] Constant 7 1 Linear 3 x + 4 2 Quadratic 5 x 2 ± x + 1 3 Cubic x 3 + 4 x 4 Quartic x 4 ± ² 5 Quintic x 5 PART D: CATEGORIZING POLYNOMIALS BY NUMBER OF TERMS Number of Terms Type Examples 1 Monomial x 5 2 Binomial x 3 + 4 x 3 Trinomial 5 x 2 ± x + 1 PART E: SQUARING BINOMIALS Formulas for Squaring Binomials a + b () 2 = a 2 +
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Unformatted text preview: 2 ab + b 2 a ± b ( ) 2 = a 2 ± 2 ab + b 2 WARNING 1 : When squaring binomials, don’t forget the “middle term” of the resulting Perfect Square Trinomial (PST) . For example, x + 3 ( ) 2 = x 2 + 6 x + 9 . Observe that 6 x is twice the product of the terms x and 3: 6 x = 2 x ( ) 3 ( ) . The figure below implies that x + y ( ) 2 = x 2 + 2 xy + y 2 for x > and y > ....
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