Question

if the polynomial ax³+3x²-13 and2x³-5x+a when divided by (x-2)leave the same reminder find the value of a

Answer 1

ʜᴇʟʟᴏ ᴍᴀᴛᴇ!

ʟᴇᴛ ᴛʜᴇ ɢɪᴠᴇɴ ᴘᴏʟʏɴᴏᴍɪᴀʟs ᴍᴇ ᴘ( x )

ᴘ( x ) = ᴀx³ + 3x² - 13
ᴘ( x ) = 2x³ - 5x + ᴀ

ɴᴏᴡ, x - 2 = 0 => x = 2

ᴀs x - 2 ɪs ғᴀᴄᴛᴏʀ ᴏғ ᴘ ( x ) sᴏ ᴘ( x ) = 0

0 = ᴀ(2)³ + 3(2)² - 13
0 = 8ᴀ + 12 - 13
0 = 8ᴀ - 1

0 = 2(2)³ - 5(2) + ᴀ
0 = 16 - 10 + ᴀ
0 = 6 + ᴀ

8ᴀ - 1 = 6 + ᴀ
8ᴀ - ᴀ = 6 + 1
7ᴀ = 7
ᴀ = 7/7 ᴏʀ 1

ʜᴇɴᴄᴇ, ᴠᴀʟᴜᴇ ᴏғ ᴀ = 1

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs