Question

find the value of j if x-1 is a factor of p (x) = kx^2 -3x +k​

Answer 1

Answer:

3/2

Step-by-step explanation:

kx^2 - 3x + k = 0

k (1)^2 - 3 + k = 0

2k - 3 = 0

k = 3/2

Answer 2

ᴄᴏʀʀᴇᴄᴛ ǫᴜᴇsᴛɪᴏɴ :

• Fɪɴᴅ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ᴋ ɪғ x -1 ɪs ᴀ ғᴀᴄᴛᴏʀ ᴏғ ᴘ(x) = ᴋx² - ᴇx + ᴋ

Sᴏʟᴜᴛɪᴏɴ :

x - 1 ɪs ᴀ ғᴀᴄᴛᴏʀ ᴏғ ɢɪᴠᴇɴ ᴘ(x)

sᴏ, x = 1

sᴜʙsᴛɪᴛᴜᴛɪɴɢ ᴠᴀʟᴜᴇ ᴏғ x ɪɴ ɢɪᴠᴇɴ ᴘ(x)

➠ ᴋ × (1)² - 3× 1 + ᴋ = 0

➠ ᴋ - 3 + ᴋ = 0

➠ 2ᴋ - 3 = 0

➠ ᴋ = 3/2

ʜᴇɴᴄᴇ

• ᴠᴀʟᴜᴇ ᴏғ ᴋ ɪs 3/2