Question

For x = 5, find the value of the polynomial 3x³ + 2x² - 6 + 5x Divide x³ + 3x² + 2x + 5 ÷ x - 2 by synthetic division method,Write quotient and remainder

Answer 1

thanks for 5 point buvkjdjdifhfkcbckcb

Answer 2

Given:

(i) x=5  and polynomial 3x³+2x²+5x-6

(ii) ( x³ + 3x² + 2x + 5) ÷ (x - 2)

To find:

(i) To find the value of given polynomial for x=5

(ii) By synthetic division method we have to find the quotient and remainder of

     ( x³ + 3x² + 2x + 5) ÷ (x - 2)

Solution:

(i) Substitute 5 in place of x in $3x^{3} +2x^{2} +5x-6$

   ⇒$3(5^{3} )+2(5^{2} )+5(5)-6$

   ⇒$3(125)+2(25)+25-6$

   ⇒$375+50+19$

   ⇒444

∴The value of 3x³+2x²+5x-6 for x=5  is 444.

(ii)Refer to below attached file for synthetic division method of  ( x³ + 3x² + 2x + 5) ÷ (x - 2)

Quotient = 3x+8   and Remainder = 21

32a4c867dc1daf3e40a5818dff421e1c.docx