Math, asked by sakshi1858, 1 year ago

4x³+16x²+48x+64 solve the equation

Answers

Answered by piyushsingh81255
0

4x3-48x+64=0

Two solutions were found :

x = 2

x = -4

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(22x3 - 48x) + 64 = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

4x3 - 48x + 64 = 4 • (x3 - 12x + 16)

Polynomial Roots Calculator :

3.2 Find roots (zeroes) of : F(x) = x3 - 12x + 16

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 16.

The factor(s) are:

of the Leading Coefficient : 1

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

hope it helped you

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