mulptiply the given polynomials and write the degree of the product. (x2-4x+8)(x2-1)
Answers
Answered by
2
Answer:
The given polynomials are x
2
+3x+5 and x
2
−1
We can multiply the given polynomials as shown below:
(x
2
−1)(x
2
+3x+5)
⇒x
2
(x
2
+3x+5)−1(x
2
+3x+5)
⇒x
4
+3x
3
+5x
2
−x
2
−3x−5
⇒x
4
+3x
3
+(5x
2
−x
2
)−3x−5(Combiningliketerms)
⇒x
4
+3x
3
+x
2
(5−1)−3x−5
⇒x
4
+3x
3
+4x
2
−3x−5
Hence, (x
2
−1)(x
2
+3x+5)=x
4
+3x
3
+4x
2
−3x−5.
Answered by
1
Answer:
ʜᴇʀᴇ ɪꜱ yᴏᴜʀ ᴀɴꜱᴡᴇʀ..⤵️⤵️
Step-by-step explanation:
qᴜᴇꜱᴛɪᴏɴ :- ᴍᴜʟᴩᴛɪᴩʟy ᴛʜᴇ ɢɪᴠᴇɴ ᴩᴏʟyɴᴏᴍɪᴀʟꜱ ᴀɴᴅ ᴡʀɪᴛᴇ ᴛʜᴇ ᴅᴇɢʀᴇᴇ ᴏꜰ ᴛʜᴇ ᴩʀᴏᴅᴜᴄᴛ . (x2-4x+8)(x2-1) ?
ᴀɴꜱᴡᴇʀ :- (x2-4x+8)(x2-1)
= × 4 × 2 - 4 × 3 + 4× + 8 × 2 - 8
= × 4 - 4 × 3 + 1 × 2 + 4x - 8
ᴅᴇɢʀᴇᴇ ᴏꜰ ᴩᴏʟyɴᴏᴍɪᴀʟ = 4 ..
ʜᴏᴩᴇ ɪᴛꜱ ʜᴇʟᴩ..⤴️⤴️
Similar questions