What is factor ax^3+bx^2+ax+b ?

The solution to factor ax^3+bx^2+ax+b is (x^2+1)(ax+b)

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factor ax^3+bx^2+ax+b

factor

a x^{3} + b x^{2} + a x + b

(x^{2} + 1) (a x + b)

Solution steps

a x^{3} + b x^{2} + a x + b

Factor

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

Factor

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

= x a (x^{2} + 1) + b (x^{2} + 1)

Factor out common term

(x^{2} + 1)

= (x^{2} + 1) (x a + b)

x^{10} + 9 x^{5} + 8

x^{2} + 3 x - 28 x^{2} + 3 x - 28

[(4 a + b) - 6]^{2}

2 x a + 2 x b - a y - b y

e^{(3 x)} sin (5 x)

What is factor ax^3+bx^2+ax+b ?
The solution to factor ax^3+bx^2+ax+b is (x^2+1)(ax+b)