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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Which of the following is a polynomial with roots: -square root of 3, square root of 3, and 2?
x3 - 2x2 - 3x + 6
x3 - 3x2 - 5x + 15
x3 + 2x2 - 3x - 6
x3 + 3x2 - 5x - 15
Solution:
Given:
Roots are -√3, √3 and 2
y = (x - (-√3))(x - √3)(x - 2)
By further calculation
y = (x + √3)(x - √3)(x - 2)
From the algebraic identity (a2 - b2) = (a + b)(a - b)
y = (x2 - 3)(x - 2)
By distributive property of multiplication
y = x3 - 2x2 - 3x + 6
Therefore, (x3 - 2x2 - 3x + 6) is a polynomial with roots square root of 3, square root of 3, and 2.
Which of the following is a polynomial with roots: -square root of 3, square root of 3, and 2?
Summary:
The polynomial with roots square root of 3, square root of 3, and 2 is (x3 - 2x2 - 3x + 6).
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