Dividing the first polynomial, by the second polynomial, check whether the first polynomial is a factor of the second polynomial:
g(x) = x² + 3x + 1, f(x) = 3x⁴ + 5x³ – 7x² + 2x + 2

Question

Dividing the first polynomial, by the second polynomial, check whether the first polynomial is a factor of the second polynomial: g(x) = x 2 + 3x + 1, f(x) = 3x 4 + 5x 3 – 7x 2 + 2x + 2

Philoid · Accepted Answer

The solution is as follows:

Since the remainder is zero, it is proved that the first polynomial is the factor of second.

Dividing the first polynomial, by the second polynomial, check whether the first polynomial is a factor of the second polynomial:g(x) = x2 + 3x + 1, f(x) = 3x4 + 5x3 – 7x2 + 2x + 2

Dividing the first polynomial, by the second polynomial, check whether the first polynomial is a factor of the second polynomial:
g(x) = x² + 3x + 1, f(x) = 3x⁴ + 5x³ – 7x² + 2x + 2