Mathematics
Grade10
Easy
Question
Factor out the GCF from the polynomial. -3x4 + 12x3 – 21x2
- -3x2(x2 – 4x + 7)
- 3x2(x2 + 4x + 7)
- -3x2(x2 + 4x – 7)
- 3x2(-x2 – 4x + 7)
Hint:
The greatest common factor is commonly known as GCF.
The correct answer is: -3x2(x2 – 4x + 7)
-3x4 = (-1)3xxxx
12x3 = (-1)(-2)23 x x x
-21x2 = (-1)37x x
GCF is (-1)3xx 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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