Question

7+
16x4
2
ता
4
fr
2
12x
2-
N​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

(((x3) - (22•3x2)) + 48x) - 64 = 0

STEP

2

:

Checking for a perfect cube

2.1 x3-12x2+48x-64 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3-12x2+48x-64

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

Group 1: x3-64

Group 2: 48x-12x2

Pull out from each group separately :

Group 1: (x3-64) • (1)

Group 2: (x-4) • (-12x)

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 :

2.3 Find roots (zeroes) of : F(x) = x3-12x2+48x-64

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 above mentioned tools. It would only find Rational Roots that is numbers x 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 1 and the Trailing Constant is -64.

The factor(s) are:

of the Leading Coefficient : 1

of the Trailing Constant : 1 ,2 ,4 ,8 ,16 ,32 ,64

Let us test ....

Answer 2

Step-by-step explanation:

7+

16x4

2

ता

4

fr

2

12x

2-

N

.Copper can be said as Cuprum or Cuprous in Latin