Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Factor the polynomial completely. 4x3 – 12x2 7x – 21 4x2(x – 3) 7(x – 3) Which is the completely factored polynomial? 4x2(x 4) 3x2(x – 3) (4x2 – 7)(x 3) (4x2 7)(x – 3).

Sagot :

Answer:

  (d)  (4x² +7)(x -3)

Step-by-step explanation:

This polynomial can be factored by factoring pairs of terms.

  = (4x³ -12x²) +(7x -21)

  = 4x²(x -3) +7(x -3)

  = (4x² +7)(x -3)

__

Additional comment

The answer choices suggest we're not interested in irrational or complex factors. The quadratic (4x² +7) could be factored into linear terms involving irrational complex numbers. The form for "difference of squares" would be used for the purpose.