Factor the polynomial. 4m4 + 36m3 + 96m2 + 80m

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Step-by-step explanation:

To factor the polynomial you must:

Factor out common term :

Next, factor .

Since all coefficients are integers, apply the Rational Zeros Theorem.

The Rational Zero Theorem states that, if the polynomial has integer coefficients, then every rational zero of has the form where is a factor of the constant term and is a factor of the leading coefficient  

Using the Rational Zero Theorem,

The dividers of :

The dividers of : 1

Therefore, check the following rational numbers:

is a root of the expression, so factor out

Next, factor

Therefore,

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the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

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step-by-step explanation: