Which of the following is a factor of the polynomial $- 2 x^{2} + 7 x - 6$ ?

- 2 x - 3

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2 x + 2

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x - 6

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2 x - 2

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- 2 x + 3

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Solution

The correct option is E $- 2 x + 3$
Factor the given expression:
$- 2 x^{2} + 7 x - 6$
$= - 2 x^{2} + 4 x + 3 x - 6$
$= - 2 x (x - 2) + 3 (x - 2)$
$= (- 2 x + 3) (x - 2)$
Therefore, $- 2 x + 3$ is the factor of $- 2 x^{2} + 7 x - 6$ .

Hence, option E is correct.

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[1 Mark]

Q. Factorise the following polynomial.

x^{3} - 2 x^{2} - 5 x + 6

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Which of the following is a factor of the polynomial −2x2+7x−6?

The correct option is E −2x+3Factor the given expression:−2x2+7x−6=−2x2+4x+3x−6=−2x(x−2)+3(x−2)=(−2x+3)(x−2)Therefore, −2x+3 is the factor of −2x2+7x−6.Hence, option E is correct.

Which of the following is a factor of the polynomial $- 2 x^{2} + 7 x - 6$ ?

The correct option is E $- 2 x + 3$
Factor the given expression:
$- 2 x^{2} + 7 x - 6$
$= - 2 x^{2} + 4 x + 3 x - 6$
$= - 2 x (x - 2) + 3 (x - 2)$
$= (- 2 x + 3) (x - 2)$
Therefore, $- 2 x + 3$ is the factor of $- 2 x^{2} + 7 x - 6$ .

Hence, option E is correct.