Which of the following is not a factors of the expression 2x3 – 3x2

1.	Which of the following is not a factors of the expression 2x3 – 3x2 – 17x – 12?1. x + 52. x – 43. 2x + 34. x + 1
Answer» Correct Answer - Option 1 : x + 5 GIVEN: 2x³ – 3x² – 17x – 12 CALCULATION: 2x³ – 3x² – 17x – 12 Put x = 1 2 × (1)³ – 3 × (1)² – 17 × 1 – 12 = 2 – 3 – 17 – 12 = 30 [(x – 1) is not a factor of expression.] Put x = -1 2 × (-1)³ – 3 × (-1)² – 17 × (-1) – 12 = – 2 – 3 + 17 – 12 = 0 [(x + 1) is a factor of expression.] Now, 2x³ – 3x² – 17x – 12 = (x + 1) (2x² – 5x – 12) (x + 1) (2x + 3) (x – 4) Hence, (x + 1), (2x + 3) and (x – 4) are factors of expression.

Which of the following is not a factors of the expression 2x3 – 3x2 – 17x – 12?1. x + 52. x – 43. 2x + 34. x + 1

Answer» Correct Answer - Option 1 : x + 5

GIVEN:

2x³ – 3x² – 17x – 12

CALCULATION:

2x³ – 3x² – 17x – 12

Put x = 1

2 × (1)³ – 3 × (1)² – 17 × 1 – 12

= 2 – 3 – 17 – 12

= 30 [(x – 1) is not a factor of expression.]

Put x = -1

2 × (-1)³ – 3 × (-1)² – 17 × (-1) – 12

= – 2 – 3 + 17 – 12

= 0 [(x + 1) is a factor of expression.]

Now,

2x³ – 3x² – 17x – 12 = (x + 1) (2x² – 5x – 12)

(x + 1) (2x + 3) (x – 4)

Hence, (x + 1), (2x + 3) and (x – 4) are factors of expression.

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Which of the following is not a factors of the expression 2x3 – 3x2 – 17x – 12?1. x + 52. x – 43. 2x + 34. x + 1

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