Question

4. p(x) = 2x³- 7x² +9x -13, g(x) = x -3.​

Answer 1

Hey Pretty Stranger!

$\star \sf \: p(x) = 2 {x}^{3} - 7 {x}^{2} + 9x - 13$

$\star \: \sf \: g(x) = x - 3$

When g(x) = 0

$\sf \longrightarrow \: x - 3 = 0$

$\sf \longrightarrow \: x = 0 + 3$

$\sf \longrightarrow \: x = 3$

Put the value of x = 3 in p(x)

$\sf \: p(x) = 2( {3})^{3} - 7( {3})^{2} + 9(3 )- 13$

$\sf \longrightarrow \: 2(27) -7(9) + 27 - 13$

$\sf \longrightarrow \: 54 - 63 + 27 - 13$

$\sf \longrightarrow \: 81 - 76$

$\longrightarrow \: \huge\boxed{ \purple{ \sf \: 5}}$