Question

What numbers go in the blanks to make the equation true?

(2x² + ___x+3)(_____x + 4) = 4x³ + 20x² + 30x + 12

Answer 1

To find the missing numbers, expand the left side of the equation and compare it to the right side. The missing numbers are 2x², x, x, and 3.

Step-by-step explanation:

To find the missing numbers, we need to expand the left side of the equation and compare it to the right side.

Expanding the left side gives us: (2x² + _____x + 3)(_____x + 4) = (2x²)(_____x) + (2x²)(4) + (_____x)(_____x) +(_____x)(4) + (3)(_____x) + (3)(4)

Comparing this to the right side of the equation: 4x³ + 20x² + 30x + 12

By comparing the corresponding terms, we can determine that the missing numbers are: 2x², x, x, and 3.