Question

If two zeros of x^4 -x ^3 +lx ^2 +mx+4 are -1 and 2 then l-m =

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Answer 1

Answer:

the answer is l-m =-5

Step-by-step explanation:

Given polynomial = $x^{ 4} -x^{3} +lx^{2} + mx+4$

zeros of above polynomial are -1 and 2

 zero of the polynomial, is the value which gives zero on substituting in variable of the polynomial

 substitute $x = -1$ ⇒ $(-1) ^{4}- (-1)^{3} +l(-1)^{2} +m(-1)+4=0$

                                   $1 -(-1)+l -m+4 =0$

                                   1+1 +l -m+4=0

                                    l-m+6=0

                                     l-m = -6