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Popular >

factor 2x^3+x^2+8x+4

Solution

factor

2 x^{3} + x^{2} + 8 x + 4

Solution

(2 x + 1) (x^{2} + 4)

Solution steps

2 x^{3} + x^{2} + 8 x + 4

= (2 x^{3} + x^{2}) + (8 x + 4)

Factor out

x^{2}

from

2 x^{3} + x^{2} : x^{2} (2 x + 1)

Factor out

4

from

8 x + 4 : 4 (2 x + 1)

= x^{2} (2 x + 1) + 4 (2 x + 1)

Factor out common term

2 x + 1

= (2 x + 1) (x^{2} + 4)

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Frequently Asked Questions (FAQ)

What is factor 2x^3+x^2+8x+4 ?
The solution to factor 2x^3+x^2+8x+4 is (2x+1)(x^2+4)