The quotient of (x5 – 3x3 – 3x2 – 10x 15) and a polynomial is (x2 – 5). what is the polynomial? a: x^5 – 3x^3 – 2x^2 – 10x 10 b: x^7 – 8x^5 – 3x^4 5x^3 30x^2 50x – 75 c: x^3 2x – 3 d: x^5 – 3x^3 – 4x^2 – 10x 20

The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and a polynomial is (x^2 – 5), to obtain the polynomial, we multiply (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) (x^2 - 5)(x^5 – 3x^3 – 3x^2 – 10x + 15) = x^7 - 3x^5 - 3x^4 - 10x^3 + 15x^2 - 5x^5 + 15x^3 + 15x^2 + 50x - 75 = x^7 - 8x^5 - 3x^4 + 5x^3 + 30x^2 + 50x - 75 therefore, the option b is the correct answer.

answer: c:

step-by-step explanation:

since, dividend = quotient × divisor + remainder

here, quotient =

and, divisor =

remainder = 0,

⇒  

hence, the required polynomial is,

⇒ option b is correct.

What's the denominator