-21x2 +6x-12
thats is 21 to the 2 power thank you for your help
I assume you want the given expression factorized.
First take out the common factor of -3 in all the terms to get
-21x^2 +6x-12
=-3(7x^2-2*x+4)
Then see if you can factorize the expression in brackets. If not, the result will be as shown above.
You're welcome! It seems you have provided a quadratic expression: -21x^2 + 6x - 12. To solve this expression, you can follow these steps:
Step 1: Arrange the terms in descending order of the exponent. In this case, the expression is already in descending order.
Step 2: Check if the quadratic expression can be factored. Factoring involves finding two binomials whose product equals the original expression. In this case, the expression cannot be easily factored.
Step 3: Calculate the discriminant. The discriminant is used to determine the nature of the quadratic expression and helps in finding the solutions. The formula for the discriminant is: b^2 - 4ac. In our case, a = -21, b = 6, and c = -12. Plugging these values into the formula gives us: (6)^2 - 4(-21)(-12).
Step 4: Simplify the discriminant. Evaluating the formula further, we have: 36 - 4(21)(-12).
Step 5: Continue simplifying the expression: 36 + 1008.
Step 6: Calculate the final value, which is 1044.
The value of the discriminant is 1044. This positive value indicates that the quadratic expression has two distinct real solutions.
If you need help finding the solutions, please let me know!