Question

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Answer 1

The value of given Polynomial 25y³ - 36y = 0 is 0, 6/5, -6/5.

What is Polynomial?

A polynomial is a type of expression. An expression is a mathematical statement without an equal-to sign (=).

Here, given polynomial

              25y³ - 36y = 0

              y(25y² - 36) = 0

             y { (5y)² - (6)²} = 0

             y {(5y-6)(5y+6)} = 0

so, y = 0, or 5y-6 = 0  or 5y+6 = 0

      y = 0,  or  y = 6/5  or   y = -6/5

Thus, the value of given Polynomial 25y³ - 36y = 0 is 0, 6/5, -6/5.

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Answer 2

The solution to 25y³ - 36y = 0 are y = 0, y = 6/5 and y =-6/5

How to solve the polynomial?

The polynomial is given as:

25y³ - 36y = 0

Factor out y in the above equation

y(25y² - 36) = 0

Split

y = 0 or 25y² - 36 = 0

Solving 25y² - 36 = 0, we have:

25y² - 36 = 0

Express 36 as 6² and 25 as 5²

(5y)² - 6² = 0

Apply the difference of two squares

(5y - 6)(5y + 6) = 0

Split

5y - 6 = 0 or 5y + 6 = 0

Solve for y

y = 6/5 or y = -6/5

Recall that:

y = 0

Hence, the solution to 25y³ - 36y = 0 are y = 0, y = 6/5 and y =-6/5

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