The product of two expressions is x⁵ + x³ + x. If one of them is x² + x + 1, find the other.
Solution:
Given, product of two expressions is x⁵ + x³ + x and one of them is x² + x + 1.
To find the other divide x⁵ + x³ + x by x² + x + 1
⇒ (x⁵ + x³ + x) ÷ (x² + x + 1)
Using long division method,
∴ The other expression is ( x³ - x² + x).
✦ Try This: The product of two expression is x⁴ + 7x³ + 14x² + 17x + 3 . If one of them is x² + 5x + 1, find the other.
Given, product of two expressions is x⁴ + 7x³ + 14x² + 17x + 3 and one of them is x² + 5x + 1.
To find the other divide x⁴ + 7x³ + 14x² + 17x + 3 by x² + 5x + 1
⇒ (x⁴ + 7x³ + 14x² + 17x + 3) ÷ (x² + 5x + 1)
Using long division method,
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9
NCERT Exemplar Class 8 Maths Chapter 7 Problem 121
The product of two expressions is x⁵ + x³ + x. If one of them is x² + x + 1, find the other.
Summary:
The product of two expressions is x⁵ + x³ + x. If one of them is x² + x + 1, the other expression is ( x³ - x² + x)
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