Which of the following is a factor of the polynomial \(2x^2 – 3x – 5\)?

F. \(x – 1\)
G. \(2x – 3\)
H. \(2x – 5\)
J. \(2x + 5\)
K. \(3x + 5\)

H is a factor.
(2x-5)(x+1)
Solve and simplify

Answered by shykes33 | 2024-06-10

2 x 2 − 3 x − 5 = 2 x 2 + 2 x − 5 x − 5 = 2 x ( x + 1 ) − 5 ( x + 1 ) = ( 2 x − 5 ) ( x + 1 )
H

Answered by konrad509 | 2024-06-25

The factor of the polynomial 2 x 2 − 3 x − 5 is Option H: 2 x − 5 . We confirmed this by evaluating the polynomial at the root of each option. Only 2 x − 5 evaluates to zero, confirming it as a factor.
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Answered by shykes33 | 2024-10-15