Question

Factorise.
8 x ² + 26x + 6​

Answer 1

Step-by-step explanation:

Step by step solution :

STEP

1

:

Equation at the end of step 1

(23x2 - 26x) - 6 = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

8x2 - 26x - 6 = 2 • (4x2 - 13x - 3)

Trying to factor by splitting the middle term

3.2 Factoring 4x2 - 13x - 3

The first term is, 4x2 its coefficient is 4 .

The middle term is, -13x its coefficient is -13 .

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

Step-1 : Multiply the coefficient of the first term by the constant 4 • -3 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -13 .

-12 + 1 = -11

-6 + 2 = -4

-4 + 3 = -1

-3 + 4 = 1

-2 + 6 = 4

-1 + 12 = 11

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

3

:

2 • (4x2 - 13x - 3) = 0

STEP

4

:

Equations which are never true:

4.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

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