Question

fii) (x2 – 2x)2 + 5(x2 – 2x) – 36​

Answer 1

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x^2-2*x-36-(2*x)=0

Step by step solution :

STEP

1

:

Trying to factor by splitting the middle term

1.1 Factoring x2-4x-36

The first term is, x2 its coefficient is 1 .

The middle term is, -4x its coefficient is -4 .

The last term, "the constant", is -36

Step-1 : Multiply the coefficient of the first term by the constant 1 • -36 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -4 .

-36 + 1 = -35

-18 + 2 = -16

-12 + 3 = -9

-9 + 4 = -5

-6 + 6 = 0

-4 + 9 = 5

-3 + 12 = 9

-2 + 18 = 16

-1 + 36 = 35

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

1

:

x2 - 4x - 36 = 0