Mathematics
Grade10
Easy

Question

Factor out the GCF from the polynomial. -3x4 + 12x3 – 21x2

  1. -3x2(x2 – 4x + 7)
  2. 3x2(x2 + 4x + 7)
  3. -3x2(x2 + 4x – 7)
  4. 3x2(-x2 – 4x + 7)

hintHint:

The greatest common factor is commonly known as GCF.

The correct answer is: -3x2(x2 – 4x + 7)


    -3x4 = (-1)cross times3cross timesxcross timesxcross timesxcross timesx
    12x3 = (-1)cross times(-2)cross times2cross times3cross times xcross times xcross times x
    -21x2 = (-1)cross times3cross times7cross timesxcross times x
    GCF is (-1)cross times3cross timesxcross timesx i.e. -3x2
    -3x2(x2 – 4x + 7)

    The GCF of two or more non-zero integers, x, and y, is the greatest positive integer m, which divides both x and y.

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