Question

plz solve this fast friends

urgent​

Answer 1

Answer:

$x - 2 = 0 \\ \: \: \: \: \: \: \: \: x = 2 \\ p(x) = 3{x}^{3} - {7x}^{2} + kx - 16 \\ p(2) = 3 {(2)}^{3} - 7 {(2)}^{2} + k(2) - 16 \\ \: \: \: \: \: \: \: \: \: = 3(8) - 7(4) + 2k - 16 \\ \: \: \: \: \: \: \: \: \: = 24 - 28 + 2k - 16 \\ \: \: \: 2k = 28 + 16 - 24 \\ \: \: \: 2k =44 - 24 \\ \: \: \: 2k =20 \\ \: \: \: \: \: k = \frac{20}{2} \\ \: \: \: \: \: k = 10$

Therefore,Option b(10) is the right answer.

HOPE IT HELPS YOU......

Answer 2

✯✯ QUESTION ✯✯

If x-2 is a factor of the polynomial ${3x}^{3}-{7x}^{2}+kx-16$ , then the value of 'k' is :.

(a)-10

(b)10

(c)-2

(d)2

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

✰✰ ANSWER ✰✰

$⇢x-2=0$

$⇢x=2$

$⇢\textbf{Putting\:x=2}$

$⇢{3x}^{3}-{7x}^{2}+kx-16$

$⇢{3(2)}^{3}-{7(2)}^{2}+k(2)-16=0$

$⇢3(8)-7(4)+2k-16=0$

$⇢24-28+2k-16=0$

$⇢2k=-24+28+16$

$⇢2k=4+16$

$⇢2k=20$

$⇢k=\cancel\dfrac{20}{2}⟹10$

☛$\large{\boxed{\bold{\bold{\red{\sf{k=10}}}}}}$

☛So,Option ( b ) 10 is Correct.