Mathematics
Grade10
Easy
Question
Two pieces of fabric are being used for clothing designs for a fashion show at school. Expressions for the areas of the rectangular piece are shown.
Factor the expressions for the areas completely.
- (3x + 12) (x + 1), (3x + 13) (2x + 1)
- (4x + 12)2, (3x + 13)2
- (x + 12) (4x + 13), (x – 12) (4x + 13)
- 12(x + 1)2, 3(x + 13)2
Hint:
Quadratic polynomial is a polynomial in which the highest degree monomial is of the second degree.
The correct answer is: 12(x + 1)2, 3(x + 13)2
We have to write the areas into dimensions of a rectangle.
12x2 + 24x + 12 = 12(x2 + 2x + 1) = 12(x + 1)2
3x2 + 78x + 507 = 3(x2 + 26x + 169) = 3(x2 + 2(x)(13) + 132) = 3(x + 13)2
Hence, the correct option is A.
a²+2ab+b² = (a+b)².
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