Question

Factorise x2 - 3x2 + x -3

Answer 1

Answer:

3x-9

Step-by-step explanation:

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Answer 2

Answer:

2x2 + x - 3

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(((x2) - 3x2) + x) - 3

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

-2x2 + x - 3 = -1 • (2x2 - x + 3)

Trying to factor by splitting the middle term

3.2 Factoring 2x2 - x + 3

The first term is, 2x2 its coefficient is 2 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is +3

Step-1 : Multiply the coefficient of the first term by the constant 2 • 3 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is -1 .

-6 + -1 = -7

-3 + -2 = -5

-2 + -3 = -5

-1 + -6 = -7

1 + 6 = 7

2 + 3 = 5

3 + 2 = 5

6 + 1 = 7

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

-2x2 + x - 3

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