How to factor fourth degree polynomials

Let $P(x)=(x-1)Q(x)$, or $Q(x)=\dfrac{P(x)}{x-1}$, where $Q(x)$ is the requested polynomial. The independent term is $q_0=Q(0)=\dfrac{P(0)}{0-1}=\color{green}{-7}$. The coefficient of the

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The Easy Way to Factor and Solve a Polynomial to the 4th

To factor a polynomial of 4th degree, find its roots. If there are no roots, use grouping to factor it into the product of two second degree polynomials without roots.

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Factorin 4th Degree Polynomials with Synthetic Division

x = 2 and x = 4 are the two zeros of the given polynomial of degree 4. Because x = 2 and x = 4 are the two zeros of the given polynomial, the two factors are (x - 2) and (x - 4). To find other factors, factor the quadratic expression which has the
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Factoring 4th Degree Polynomials

f ( x) = x 4 + 10 x 3 + 39 x 2 + 70 x + 50. Converting to a depressed quartic see here, we see that the x term drops out as well. f ( x − 5 2) = x 4 + 3 x 2 2 + 25 16 = ( x 2 + 5 4) 2 − x 2
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How to Factor and Solve fourth Degree Polynomials

Factoring a 4th degree Polynomial. The factorization of fourth-degree polynomials whose form is P (x) =ax4+bx3+cx2+dx+e P ( x) = a x 4 + b x 3 + c x 2 + d x + e, it consists of finding the roots

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