Factor the polynomial.
5x4 + 10x3 + 15x2
O A. 387(5x3 + 3x2 + 2x)
O B. (5x2 + 2x)(x2 + 5x)
O C. 2x2(x + 2) + 5x?
O D. 5x2(x2 + 2x + 3)

Respuesta :

Answer: 5x^2(x^2+2x+3)

Step-by-step explanation:

The factor of the polynomial 5x⁴ + 10x³ + 15x² is 5x²(x² + 2x + 3)

Given:

5x⁴ + 10x³ + 15x²

check all that apply:

O A. 387(5x³ + 3x² + 2x)

= 1935x³ + 1161x² + 774x

O B. (5x² + 2x)(x² + 5x)

= 5x⁴ + 25x³ + 2x³ + 10x²

= 5x⁴ + 27x³ + 10x²

O C. 2x²(x + 2) + 5x

= 2x³ + 4x² + 5x

O D. 5x²(x² + 2x + 3)

= 5x⁴ + 10x³ + 15x²

Therefore, the factor of the polynomial 5x⁴ + 10x³ + 15x² is 5x²(x² + 2x + 3)

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