Question

What is the result when 4x3 + 19x2 + 29x + 14 is divided by 4x + 7?

Answer 1

Step-by-step explanation:

4x³ + 19x² + 29x + 14

= (4x³ + 7x²) + (12x² + 21x) + (8x + 14)

= x²(4x + 7) + 3x(4x + 7) + 2(4x + 7).

= (x² + 3x + 2)(4x + 7).

Hence 4x³ + 19x² + 29x + 14 divided by 4x + 7 is x² + 3x + 2 or (x + 1)(x + 2).

Answer 2

Four hundred twenty thousand and sixty nine