Question

11.
The value of p(t) = 2 +t+
2t? - t for p(2) is:
(a) 4
(b) 4
(c) 6
(d) 7​

Answer 1

$\huge {\boxed {\mathbb {QUESTION}}}$

The value of

p(t) = 2 +t+2t-t

p(2) is:

(a) 4

(b) 4

(c) 6

(d) 7

$\huge {\boxed {\mathbb {ANSWER}}}$

$\implies p(t) =2+t+2t-t$

$\implies p(2) =2+2+2(2)-2$

$\implies p(2) =4+2(2)-2$

$\implies p(2) =4+4-2$

$\implies p(2) =8-2$

$\implies {\boxed {\boxed {p(2)=6}}}$

$\therefore \implies {\boxed {\boxed {(c) \:6}}}$

$\huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$\huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

$Polynomial$

$A \:polynomial\: is \:an \:algebraic\: expression\: in\\ which\: the\: only \:arithmetic\: is\: addition,\: subtraction\:,\\ multiplication\: and\: whole\: number\: exponentiation.$

${\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5070}}}}}}}}}}}}}}}$

Answer 2

$\Large\sf{\underline{\underline{Question:-}}}$

The value of p(t) = 2 + t + 2t? t for p(2) is:

a. 4

b. 8

c. 6

d. 7

$\Large\sf{\underline{\underline{Solution:-}}}$

Here,

p(t) = 2 + t + 2t

when, t = 2

Then,

p(2) = 2 + 2 + 2 ×2

= 2 + 2 + 4

= 8

Hence, the value of p(t) = 2 + t + 2t

$\Large\sf{\boxed{p(t) = 8}}$

${\red{\bigstar}}$ For more information, a polynomial is an expression of more than two terms, especially the sum of several terms that contain different powers of the same variable(s).

e.g. 3x + 2 , x - 1 , 4x + 5

A polynomial is also an algebraic expression whereas an algebraic expression may or may not be a polynomial.

DEGREE OF POLYNOMIAL:

The greatest power of variable in a polynomial is called a degree of polynomial.

$\pink{Hope \: it \: helps}$