Question

10x²-15x³+14x⁴ solve steps​

Answer 1

Answer:

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Answer 2

Answer:

STEP

1

:

Answer is : x2 • (14x2 - 15x + 10)

Solving steps:

Equation at the end of step 1

((10•(x2))-(15•(x3)))+(2•7x4)

STEP

2

:

Equation at the end of step

2

:

((10 • (x2)) - (3•5x3)) + (2•7x4)

STEP

3

:

Equation at the end of step

3

:

((2•5x2) - (3•5x3)) + (2•7x4)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :



14x4 - 15x3 + 10x2 = x2 • (14x2 - 15x + 10)



Trying to factor by splitting the middle term

5.2 Factoring 14x2 - 15x + 10



The first term is, 14x2 its coefficient is 14 .

The middle term is, -15x its coefficient is -15 .

The last term, "the constant", is +10



Step-1 : Multiply the coefficient of the first term by the constant 14 • 10 = 140



Step-2 : Find two factors of 140 whose sum equals the coefficient of the middle term, which is -15 .

For tidiness, printing of 18 lines which failed to find two such factors, was suppressed



Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factoredFinal result :

x2 • (14x2 - 15x + 10)

Step-by-step explanation: