POLYNOMIALS : LSUS

FURTHER MATHEMATICS SSS2 FIRST TERM

WEEK 3

POLYNOMIALS

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Consider the expressions formed from the sum of integral non-negative powers of a variable x taken together with some numerical constants. Such expressions are called Polynomials.

The general polynomial takes the form anXn + an1Xn1 + … a2X2 + a1X + a0 where a11 an-1…a0(a0 ≠0) are numerical constants.

The numerical constants an’ an1…. a2, a1 are called coefficients of Xn, Xn1, … X2, X respectively while a0 is called the constant term of the polynomial.

The highest power of the variable is n and is called the degree of the polynomial. Let us designate the general polynomial by p(x). Thus:

P(x) =anXn + an-1 Xn-1 + … + a2X2 + a1X + a0.

The following are examples of polynomials:

(a) P1(x) = 3x2 – 2x + 4

(b) P2(x) = 3x4 – 2x2.... View More

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