for the polynomial function a x x 4 2x 3 21x 2 22x 40

for the polynomial function a x x 4 2x 3 21x 2 22x 40 To solve the problem of finding the linear factors of the polynomial function we are given that is a factor We need to find other linear factors among the given options Steps to Solve 1

Sure Let s work through this problem step by step First we know that tex x 5 tex is a factor of the polynomial tex A x x 4 2x 3 21x 2 To do this we can either find the other roots of the polynomial or perform polynomial division to find additional factors After identifying the roots the polynomial can be expressed as a

for the polynomial function a x x 4 2x 3 21x 2 22x 40

for the polynomial function a x x 4 2x 3 21x 2 22x 40
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Polynomial Functions Types Graph Solved Examples Cuemath
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Explanation f x x4 2x3 21x2 22x 40 By the rational roots theorem any rational zeros of f x are expressible in the form p q for integers p q with p a divisor of the Solution steps x4 2x3 21x2 22x 40 Use the rational root theorem x 1 x 1x4 2x3 21x2 22x 40 x 1x4 2x3 21x2 22x 40 x3 3x2 18x 40 x 1 x3 3x2 18x 40

Prove tan 2 x sin 2 x tan 2 x sin 2 x frac d dx frac 3x 9 2 x sin 2 theta sin 120 lim x to 0 x ln x int e x cos x dx int 0 pi sin x dx For the polynomial function A x x 4 2 x 3 2 1 x 2 2 2 x 4 0 we know x 2 and x 1 are factors Select all the other linear factors of A x

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Polynomials are often written in the form a a x a x a x a x where the a s are coefficients and x is the variable How do you identify a polynomial To identify a polynomial We can alternatively apply the shift to the quartic polynomial f x x 4 2x 3 21x 2 22x 40 by taking x u frac12 thus f left u frac12 right

1 Checking Given Factor We know is a factor so we can start dividing the polynomial by to simplify it and find a reduced polynomial 2 Finding Remaining Factors After dividing the 3 1 Find roots zeroes of F x x4 2x3 21x2 22x 40 Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F x 0 Rational Roots Test is one of the

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for the polynomial function a x x 4 2x 3 21x 2 22x 40 - Prove tan 2 x sin 2 x tan 2 x sin 2 x frac d dx frac 3x 9 2 x sin 2 theta sin 120 lim x to 0 x ln x int e x cos x dx int 0 pi sin x dx