Question

Question 7:- Q7. Find the remainder when P(x) = 3x3- 7x+5 is divided by x+3, (a) Remainder=-55. (b) Remainder= 55. (c) Remainder=-35. (d) none of these​

Answer 1

Answer-

C-        -55

Step-by-step explanation:

Sorry for change

Answer 2

Answer: -55 is remainder!

We are asked to find the reminder when p(x) is divided by g(x)!

Given that:

• p(x) = 3x³ - 7x + 5
• g(x) = x + 3

To determine:

• The remainder

Required solution:

† To solve this question firstly let us find out the value of x by putting g(x) as 0!

⇒ g(x) = x + 3

⇒ g(0) = x + 3

⇒ 0 = x + 3

⇒ 0 - 3 = x

⇒ -3 = x

• ∴ x = -3

† Now let us put x as -3 in p(x)!

⇒ p(x) = 3x³ - 7x + 5

⇒ p(x) = 3(-3)³ - 7(-3) + 5

⇒ p(x) = 3(-27) + 21 + 5

⇒ p(x) = -81 + 26

⇒ p(x) = -55

• ∴ Remainder = -55. Henceforth, option (a) is correct. $\:$