3 Use any method of your choosing to completely factor the f

3. Use any method of your choosing to completely factor the following expressions. Use either direction of the Factor Theorem to verify that the polynomial is completely factored. (That is, show either that x c is a factor of the polynomial, that c is a zero, or a combination thereof.) (a) 3x+26x3-47x2 -286x+504 (b) 30x5-69x4-135x3-174x2-390x-72

Solution

3x⁴+26x³-47x²-286x+504, using the factor theorem the expression becomes zero for x=2

The expression can be factorised to

3 (10x⁵-23x⁴-45x³-49x²-130x-24)

It cant get simplified any further.