I have FINALLY FINISHED MY EPW ( Extended piece of work)
That explains the partial inactivity:
Some questions:
6. Functions which are linear, quadratics and cubic are all known as polynomials.
Complete the following sentence:
A polynomial is a function of order n where n =............................................
'Linear', 'quadratic', 'cubic' are special names. Are there any other special names for specific polynomials and if so, what are they?
A polynomial is a function of order n where n = any digit except 0.
Linear and quadratic are all low level polynomials; therefore they have special names like linear and parabolas. However, cubic and other functions that have a power MORE than or 3 are HIGH LEVEL polynomials. Therefore, they don’t have ‘special names’.
not enough? look at this;
5. The general form of a cubic equation is y = ax3 + bx2 + ex + d and all of the
above equations can be simplified to be expressed in the general form. Simplify each of
the following where a = -2, b =1, c = -1, d = 2, e = 3, p = 1
(i) y = p(x- a)3 + e
(ii) y=p(x-a)2(x-b) +e
(iii) y = p(x2 + bx + c)(x-d) + e
(iv) y = p(x-d)(x-b)(x-c) + e
y = p(x- a)3 + e
y =1(x+2)3 + 3
y=x3+6x2+12x+8+3
y=x3+6x2+12x+11
y=p(x-a)2(x-b) +e
y =1(x+2)2(x-1)+3
y=x2+4x+4 (x-1)+3
y=x3-3x2-4+3
y=x3-3x2+1
y = p(x2 + bx + c)(x-d) + e
y=1(x2+x-1)(x-2)+3
y=x3-x2-3x+2+3
y=x3-x2-3x+5
y = p(x-d)(x-b)(x-c) + e
y=1(x-2)(x-1)(x+1)+3
y=x2-2x-2+2(x+1)+3
y=x3-2x2-x+2+3
y=x3-2x2-x+5
HAPPY???
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