can someone help me out?Factor 2x2b2 + 5xb2 + 2b2. Show your work.
Accepted Solution
A:
Answer: b²(2x+1)(x+2)
Explanation: The given equation is: 2b²x² + 5xb² + 2b² We can start by taking b² as a common factor, this will give us: b² (2x² + 5x + 2)
Now, we have a trinomial quadratic equation that we need to factorize. The general form of the quadratic equation is: ax² + bx + c The one we have is: 2x² + 5x + 2 By comparison: a = 2 b = 5 c = 2
To get the factors, we will need to use the quadratic equation attached in the images. By substitution, we would find that: either x = -1/2.......> This means that the factor is (2x+1) or x = -2........> This means that the factor is (x+2)
Now, back to our expression, we will replace the quadratic trinomial with its factored form to get the simplified expression: b²(2x+1)(x+2)