Question

(2m--3) (5m+2) + (3m-7m)(4m-1)​

Answer 1

refer to websites for video refference.

hope it is helpful

Answer 2

Answer:

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Step-by-step explanation:

6m^4-3m^2+m)-(2m^3+5m^2+4m)+(m^2-m)

This deals with simplification or other simple results.

Overview

Steps

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1 solution(s) found

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Step by Step Solution

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STEP

1

:

Equation at the end of step 1

((((6•(m4))-(3•(m2)))+m)-(((2•(m3))+5m2)+4m))+(m2-m)

STEP

2

:

Equation at the end of step

2

:

((((6•(m4))-(3•(m2)))+m)-((2m3+5m2)+4m))+(m2-m)

STEP

3

:

Equation at the end of step

3

:

((((6•(m4))-3m2)+m)-(2m3+5m2+4m))+(m2-m)

STEP

4

:

Equation at the end of step

4

:

((((2•3m4) - 3m2) + m) - (2m3 + 5m2 + 4m)) + (m2 - m)

STEP

5

:

STEP

6

:

Pulling out like terms

6.1 Pull out like factors :

6m4 - 2m3 - 7m2 - 4m =

m • (6m3 - 2m2 - 7m - 4)

Checking for a perfect cube :

6.2 6m3 - 2m2 - 7m - 4 is not a perfect cube

Trying to factor by pulling out :

6.3 Factoring: 6m3 - 2m2 - 7m - 4

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -7m - 4

Group 2: 6m3 - 2m2

Pull out from each group separately :

Group 1: (7m + 4) • (-1)

Group 2: (3m - 1) • (2m2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

6.4 Find roots (zeroes) of : F(m) = 6m3 - 2m2 - 7m - 4

Polynomial Roots Calculator is a set of methods aimed at finding values of m for which F(m)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers m which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 6 and the Trailing Constant is -4.

The factor(s) are:

of the Leading Coefficient : 1,2 ,3 ,6

of the Trailing Constant : 1 ,2 ,4

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -5.00

-1 2 -0.50 -1.75

-1 3 -0.33 -2.11

-1 6 -0.17 -2.92

-2 1 -2.00 -46.00

-2 3 -0.67 -2.00

-4 1 -4.00 -392.00

-4 3 -1.33 -12.44

1 1 1.00 -7.00

1 2 0.50 -7.25

1 3 0.33 -6.33

1 6 0.17 -5.19

2 1 2.00 22.00

2 3 0.67 -7.78

4 1 4.00 320.00

4 3 1.33 -2.67

Polynomial Roots Calculator found no rational roots

Final result :

m • (6m3 - 2m2 - 7m - 4)