Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x? + 11x - 2 by 2x2 – 3x + 1. Analyze their individual work.
Tamara's work:
• Clyde's work:
Quotient
+5x
-2
2x
X? + 2x - 5.5
2x² – 3x + 12x + 7X? – 18x + 11x - 2
- (2x - 3x + x)
4X – 17x2 + 11x
-(4x - 3x + 2x)
-11x² + 8x - 2
7-11x + 16.5x -5.5)
-7.5x + 3.5
2x 10x
-3x -15%
-3x
6x
+1
5x
--2
-3x + 10x' = 7x
X + (-15x) + (-4x) = -18x
5x + 6x 11x
• Tamara's answer.
2 + 7x-18x + 11x-2
-= x + 5x -5.5+
2x²-3x+1
-7.5x + 3.5
2x - 3x + 1
- Clyde's
2x + 7x? - 18x + 11x-2
-=X+5x-2
2x - 3x + 1
Which statement about their answers is true?
O Tamara's work is correct because Clyde did not multiply the terms in the division table correctly.
O Clyde's work is correct because Tamara did not subtract the terms correctly.