Question

please give me correct answers​

Answer 1

use long division method..

hope it helps!

Answer 2

Question no. 3

• Attached in Photo

Or

$\bull \: \: \: { \underline{ \underline{ \tt{Let's \: \: understand \: \: the \: \: concept}} \: \: }}_{ \bigstar \star}$

• Zero of any function is the point that cuts on x axis when y=0. As given, the polynomial x³+3x²+3x+k cuts the x-axis on (-1,0) point. Hence we can say x³+3x²+3x+k=0 [ condition is y should be equal to 0 ]

$\bull \: \: \: { \underline{ \underline{ \tt{Let's \: \: solve \: \: this \: \: problem \: \: now}} \: \: }}_{ \bigstar \star}$

$\sf\rightarrowtail \: \: \: \: \: {( - 1)}^{3} + 3 {( - 1)}^{2} + 3( - 1) + k = 0$

$\rightarrowtail \: \: \: \: \: \sf - 1 + 3 - 3 + k = 0$

$\rightarrowtail \: \: \: \: \: \: \: \: \bf k = 1$

$\bull \: \: \: { \underline{ \underline{ \tt{Let's\:\: understand\:\: through\:\: the \:\:graph\:\: of \:\:polynomial }} \: \: }}_{ \bigstar \star}$

• Graph is attached in Photo