Question

10 x2 -18x3+14x4


factorize it equation​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x4" was replaced by "x^4". 2 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

((10•(x2))-(14•(x3)))+(2•32x4)

STEP

2

:

Equation at the end of step

2

:

((10 • (x2)) - (2•7x3)) + (2•32x4)

STEP

3

:

Equation at the end of step

3

:

((2•5x2) - (2•7x3)) + (2•32x4)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

18x4 - 14x3 + 10x2 = 2x2 • (9x2 - 7x + 5)

Trying to factor by splitting the middle term

5.2 Factoring 9x2 - 7x + 5

The first term is, 9x2 its coefficient is 9 .

The middle term is, -7x its coefficient is -7 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 9 • 5 = 45

Step-2 : Find two factors of 45 whose sum equals the coefficient of the middle term, which is -7 .

-45 + -1 = -46

-15 + -3 = -18

-9 + -5 = -14

-5 + -9 = -14

-3 + -15 = -18

-1 + -45 = -46

1 + 45 = 46

3 + 15 = 18

5 + 9 = 14

9 + 5 = 14

15 + 3 = 18

45 + 1 = 46

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

2x2 • (9x2 - 7x + 5)

your answer hope it helps you