Question

If 3 is a Zero of the polynomial x4-2x3+3x2-mx+5

please solve this question​

Answer 1

Answer:

Let , p(x)=x

4

−2x

3

+3x

2

−mx+5

if x−3 exactly divides p(x), then x=3 must satisfy p(x)

i.e. p(3)=0

or, 3

4

−2×3

3

+3×3

2

−3m+5=0

or, 81−54+27−3m+5=0

or, −3m+59=0

or, m=

3

59