Questions: Factor the polynomial. 10h^2 - 9h - 9

Transcript text: Factor the polynomial. \[ 10 h^{2}-9 h-9 \]

Solution

Solution Steps

To factor the quadratic polynomial \(10h^2 - 9h - 9\), we can use the method of splitting the middle term or the quadratic formula to find the roots and then express the polynomial as a product of its factors.

Step 1: Identify the Polynomial

We start with the polynomial \(10h^2 - 9h - 9\).

Step 2: Factor the Polynomial

To factor the polynomial, we find two binomials whose product gives us the original polynomial. The factored form is: \[ 10h^2 - 9h - 9 = (2h - 3)(5h + 3) \]

Final Answer

The factored form of the polynomial is \(\boxed{(2h - 3)(5h + 3)}\).

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