Question

if x-1 is a factor of poly 3xsquare
+mx then faind m

Answer 1

Since x-1 is factor

Then

X-1 = 0

Will satisfy the eqn

Then x = 1

Putting x=1 in eqn will give 0 as result

3x^2 +mx =0

3 ×1^2 + m×1= 0

3+m =0

m = -3

Answer 2

$\underline{\bf{QUESTION} }: \\ \\ \rightarrow \tiny {\bf \: If \: x - 1 \: is \: a \: factor \: of \: a \: polynomial \: 3x ^{2} + mx \: then \: find \: m} \\ \\ \underline{\bf{GIVEN}} : \\ \\ \rightarrow\tiny\bf{the \: factor \: of \: the \: polynomial \: is \: x - 1} \\ \\ \underline{\bf{FIND}} : \\ \\ \rightarrow \tiny \bf{the \: value \: of \: m} \\ \\ \ \underline{\bf{SOLUTION}}\: \\ \\ \rightarrow \bf{ {3x}^{2} + mx} \\ \bf{firstly \: find \: out \: the \: value \: of \: x} \\ \\ \rightarrow \bf{ x - 1, \: x - 1 = 0, \: x = 1 } \\ \\ \bf{now, \: we \: got \: the \: value \: of \: x} \: \\ \underline{\tiny\bf{putting \: the \: of \: x \: into \: the \: given \: equation \: as \: follow}} \rightarrow \: \\ \\ \rightarrow \bf{3(1)^{2} + m(1) } \\ \\ \rightarrow \bf{3 \times 1+ m \times 1} \\ \\ \rightarrow \bf{3 + m} \\ \\ \rightarrow\bf{3 + m = 0, \: m = - 3} \\ \\ \: \: \: \: \: \green {\boxed{\mathcal{HOPE \: IT'S \: HELPFUL}}}$