Question

Urgent. Factor the trinomial completely. 2x^4+32x^3+30x^2 Please show work.

Answer 1

2x^2 x (x + 15) x (x +1)

Explanation:

2x^4 + 32x^3 + 30x2

(Factor the expression)

2x^2 x (x^2 + 16x + 15)

(Rewrite the expression)

2x^2 x ( x^2 +15x + x +15)

(Factor the expression)

2x^2 x (x x( x + 15) + x + 15)

(Factor the expression)

2x^2 x (x + 15) x (x +1)

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Answer 2

2x^2(x+15)(x+1)

Explanation:

((2(x^4))+(32(x^3)))+(2 × 3 × 5x^2)

(2x^4 + 2^5x^3)+(2 × 3 × 5x^2)

pull out like factors: 2x^4 + 32x^3+30x^2 = 2x^2(x^2 + 16x + 15)

then Factor x^2+16x+15 which would then give you 2x^2(x +15)(x+1)