length of a side of a cube x⁶-15x⁴+27x²-125
Answers
Answer:
The side of the cube is expressed in 4 significant figures.
So, area and volume also contains 4 significant figures.
Hence, option (A) is correct.
Area =6a
2
=32.90 m
2
Volume =a
3
=12.85 m
3
Answer:
STEP 1 Equation at the end of step 1
(((x6)-(15•(x4)))+33x2)-125
STEP 2 Equation at the end of step
(((x6) - (3•5x4)) + 33x2) - 125
STEP 3 Checking for a perfect cube
3.1 x6-15x4+27x2-125 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: x6-15x4+27x2-125
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 27x2-125
Group 2: -15x4+x6
Pull out from each group separately :
Group 1: (27x2-125) • (1)
Group 2: (x2-15) • (x4)
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 :
3.3 Find roots (zeroes) of : F(x) = x6-15x4+27x2-125
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 -125.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,5 ,25 ,125
Let us test ....
Answer:
STEP 1 Equation at the end of step 1
(((x6)-(15•(x4)))+33x2)-125
STEP 2 Equation at the end of step
(((x6) - (3•5x4)) + 33x2) - 125
STEP 3 Checking for a perfect cube
3.1 x6-15x4+27x2-125 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: x6-15x4+27x2-125
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 27x2-125
Group 2: -15x4+x6
Pull out from each group separately :
Group 1: (27x2-125) • (1)
Group 2: (x2-15) • (x4)
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 :
3.3 Find roots (zeroes) of : F(x) = x6-15x4+27x2-125
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 -125.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,5 ,25 ,125
Let us test ....