Question

solve the following : (3x+7)(3x-7)(9x²+49)​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

 ((3x + 7) • (3x - 7)) • (32x2 +  49)

STEP

2

:

Equation at the end of step 2

 (3x + 7) • (3x - 7) • (9x2 + 49)

STEP

3

:

Polynomial Roots Calculator :

3.1    Find roots (zeroes) of :       F(x) = 9x2+49

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  9  and the Trailing Constant is  49.

The factor(s) are:

of the Leading Coefficient :  1,3 ,9

of the Trailing Constant :  1 ,7 ,49

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        58.00    

     -1       3        -0.33        50.00    

     -1       9        -0.11        49.11    

     -7       1        -7.00        490.00    

     -7       3        -2.33        98.00    

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Final result :

 (3x + 7) • (3x - 7) • (9x2 + 49)

Step-by-step explanation:

Answer 2

Answer:

(3x+7)(3x-7)(9x²+49) = 81x⁴ - 2401

Step-by-step explanation:

We have,

(3x + 7)(3x - 7)(9x² + 49)

Using the identity,

(a + b)(a - b) = a² - b²

(3x + 7)(3x - 7)(9x² + 49) = ((3x)² - (7)²)(9x² + 49)

= (9x² - 49)(9x² + 49)

Again using the same identity,

= (9x²)² - (49)²

= 81x⁴ - 2401

Hence,

(3x+7)(3x-7)(9x²+49) = 81x⁴ - 2401

Hope it helped and believing you understood it........All the best