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Doing a practice assignment right now and I'm very confused on how one would do this

Determine an equation for the family of functions, in simplified form, of a quartic with the following zeros -2 (plus or minus) square root 3 and 4 (plus or minus) square root 3

Determine an equation for the family member whose graph passes through the point (-1, 1). (2 marks)

Emma

Answers

Hi lipi!If a polynomial has a number n as a root, then (x - n) is part of its factorisation.E.g. (x - 2)(x - (-3)) is the quadratic with 2 and -3 as roots.(x - 2)(x - (-3))(x - k) is the family of cubics with roots 2, -3, and k (for any k).Can you use this to make a quartic with the roots you need?Christophe

Christophe J.

14 July 2017

Grade 12 Advance Functions Polynomials

Hey can anyone help me with this question? "Show that x+a is a factor of the polynomial P(x)=(x+a)4+(x+c)4-(a-c)4

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polynomial

IF, 3 2X+4 + 1 = 2 * 3 X+2, FIND X

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Polynomials

The coefficients of the x and x2 terms in the expansion of (1+kx)n are 44 and 924 respectively. Find the values of the constants k and n and the coefficient of the x3 term in the expansion.

Emma