Find the solutions for this polynomial equation 3(x − 2)(x2 − 9)(x + 7) = 0

If the x2-9 is x^2-9, then this is the answer. If not and it's supposed to be 2x then the answer is x=2 or x=−7 or x=9/2

Step-by-step explanation:

3(x−2)(x2−9)(x+7)=0

3x4+15x3−69x2−135x+378=0

Step 1: Factor left side of equation.

3(x−2)(x+3)(x−3)(x+7)=0

Step 2: Set factors equal to 0.

x−2=0 or x+3=0 or x−3=0 or x+7=0

x=2 or x=−3 or x=3 or x=−7

the answer is 28

step-by-step explanation:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: