What is factor (x+1)(x+3)(x+4)(x+6)+8 ?

The solution to factor (x+1)(x+3)(x+4)(x+6)+8 is (x+2)(x+5)(x^2+7x+8)

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factor (x+1)(x+3)(x+4)(x+6)+8

factor

(x + 1) (x + 3) (x + 4) (x + 6) + 8

(x + 2) (x + 5) (x^{2} + 7 x + 8)

Solution steps

(x + 1) (x + 3) (x + 4) (x + 6) + 8

Expand

(x + 1) (x + 3) (x + 4) (x + 6) + 8 : x^{4} + 14 x^{3} + 67 x^{2} + 126 x + 80

= x^{4} + 14 x^{3} + 67 x^{2} + 126 x + 80

Factor

x^{4} + 14 x^{3} + 67 x^{2} + 126 x + 80 : (x + 2) (x + 5) (x^{2} + 7 x + 8)

= (x + 2) (x + 5) (x^{2} + 7 x + 8)

d^{(3)} - 4 d^{(2)} + 2

2 x^{2} + 1 1^{2}

2 j^{(3)} + 7

10 x^{2} - 7 x + (- 2)

- 5 cos (2 π t) + 5

What is factor (x+1)(x+3)(x+4)(x+6)+8 ?
The solution to factor (x+1)(x+3)(x+4)(x+6)+8 is (x+2)(x+5)(x^2+7x+8)