Question

what is the factor of 128 - 200m4

​

Answer 1

$\bf\star\:\:\large\underline\blue{Question:-}$

• What are the factors of $128-200m^{4}$

$\bf\star\:\:\large\underline\blue{Solution:-}$

$128 - 200 {m}^{4}$

$= 8(16 - 25 {m}^{4} )$

$= 8( {(4)}^{2} - {(5 {m}^{2} )}^{2} )$

$= 8(4 + 5 {m}^{2} )(4 - 5 {m}^{2} )$

$\bf\underline\blue{Therefore,}$

Factors are:-

• $8$
• $(4 + 5 {m}^{2} )$
• $(4 - 5 {m}^{2} )$

Answer 2

STEP1

Equation  step 1

$128 -(23.52m4)$

Step2

Pull out like factors :

$128-200m4=8(25m4-16)$

Trying to factor as a Difference of Squares:

Factoring:  

$25m4-16$

Theory : A difference of two perfect squares,  

$A2-B2 can be factored into (A+B).(A-B)$

Proof :

$(A+B).(A-B)=A2-AB+BA-B2=\\A2-AB+AB-B2=\\A2-B2$

AB = BA is the commutative property of multiplication.

AB + AB equals zero and is therefore eliminated from the expression.

Check :  25  is the square of  $5$

Check : 16 is the square of $4$

Check :  m4  is the square of $m2$

Factorization is :

$(5m2+4).(5m2-4)$

Polynomial Roots Calculator :

 Find roots (zeroes) of :  $F(m)=5m2+4$  

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  5  and the Trailing Constant is  4.

The factor(s) are:

of the Leading Coefficient :  $1,5$

of the Trailing Constant :  $1,2,4$

Trying to factor as a Difference of Squares:

Factoring:

$5m2-4$

Check :  5  is not a square.

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

$-8.(5m2+4).(5m2-4)$