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(a) Show that can be written as a product of factors with integer coefficients until…
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
(a) Show that
x
4
−
16
x^4-16
x
4
−
16
can be written as a product of factors with integer coefficients until no further factorisation is possible. (b) Hence, determine all real solutions of the equation
x
4
−
16
=
0
x^4-16=0
x
4
−
16
=
0
.
Related theory
Solving Quadratic Equations
Quadratic Equations
Factorisation of Polynomials
Polynomials
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