Question

please answer the question​

Answer 1

yes it is a polynomial

1 value of x is 3.

2 put the value of x

3 now solve the equation

4

Answer 2

Answer :

• yes x - 3 is a factor of the given polynomial

$\huge \red \star \large \green \star \tiny \orange \star \huge \underline{ \boxed{ \red{ \frak{s}} \frak{ \orange{o} \blue{lu} \pink{t} \green{io} \red{n}}}} \tiny \orange \star \large \green \star \huge \red \star$

Let the given polynomial as p(x)

Let the given factor as g(x)

• On Solving

➜ Let g(x) = 0

⇒ x - 3 = 0

∴ x = 3

• On taking the value of x = 3 in p(x)

$\sf \large \red \implies \sf p(x) = \: {x}^{3} + {x}^{2} - 17x + 15 \\ \sf \large \red \implies p(3) = {3}^{3} + {3}^{2} - 17(3) + 15 \\ \\ \large \purple \implies \bold{\: 27 + 9 - 51 + 15} \\ \large \sf \purple{ \implies} \bold{51 - 51}$

$\large \red\therefore \underline{ \boxed{ \green{p(x) = 0}}}$

➜ g(x) = 3 - x is a factor of given p(x)

➜ x = 3 is a zero of given p(x)

✪ Hence Proved