Question

all formulas of polynomials class 9 ..all ​

Answer 1

ᴘᴏʟʏɴᴏᴍɪᴀʟ ғᴏʀᴍᴜʟᴀ

→ ᴡʜᴀᴛ ɪs ᴀ ᴘᴏʟʏɴᴏᴍɪᴀʟ?

ᴘᴏʟʏɴᴏᴍɪᴀʟ ɪs ᴀɴ ᴀʟɢᴇʙʀᴀɪᴄ ᴇxᴘʀᴇssɪᴏɴ, ɪɴ ᴡʜɪᴄʜ ᴛʜᴇ ᴠᴀʀɪᴀʙʟᴇs ʜᴀᴠᴇ ɴᴏɴ-ɴᴇɢᴀᴛɪᴠᴇ ᴘᴏᴡᴇʀs. ᴀ ᴘᴏʟʏɴᴏᴍɪᴀʟ ғᴜɴᴄᴛɪᴏɴ ɪs ᴀɴ ᴇǫᴜᴀᴛɪᴏɴ, ᴡʜɪᴄʜ ᴄᴏɴsɪsᴛs ᴏғ ᴀ sɪɴɢʟᴇ ɪɴᴅᴇᴘᴇɴᴅᴇɴᴛ ᴠᴀʀɪᴀʙʟᴇ, ᴡʜᴇʀᴇ ᴛʜᴇ ᴠᴀʀɪᴀʙʟᴇ ᴄᴀɴ ᴏᴄᴄᴜʀ ɪɴ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ ᴍᴏʀᴇ ᴛʜᴀɴ ᴏɴᴇ ᴛɪᴍᴇ ᴡɪᴛʜ ᴅɪғғᴇʀᴇɴᴛ ᴅᴇɢʀᴇᴇs ᴏғ ᴛʜᴇ ᴇxᴘᴏɴᴇɴᴛ. ᴀ ᴘᴏʟʏɴᴏᴍɪᴀʟ ᴇxᴘʀᴇssɪᴏɴ ɪs ᴛʜᴇ ᴏɴᴇ, ᴡʜɪᴄʜ ʜᴀs ᴍᴏʀᴇ ᴛʜᴀɴ ᴛᴡᴏ ᴀʟɢᴇʙʀᴀɪᴄ ᴛᴇʀᴍs. ᴀs ᴛʜᴇ ɴᴀᴍᴇ sᴜɢɢᴇsᴛs, ᴘᴏʟʏɴᴏᴍɪᴀʟ ɪs ᴀ ʀᴇᴘᴇᴛɪᴛɪᴠᴇ ᴀᴅᴅɪᴛɪᴏɴ ᴏғ ᴀ ᴍᴏɴᴏᴍɪᴀʟ ᴏʀ ᴀ ʙɪɴᴏᴍɪᴀʟ.

ᴛʏᴘᴇs ᴏғ ᴘᴏʟʏɴᴏᴍɪᴀʟ:

• Monomial: This type of polynomial contains only one term. For example, x2 , x, y,
• 3y, 4zBinomial: This type of polynomial contains two terms. For example, x2 – 10x
• Trinomial: This type of polynomial contains three terms. For example, x2 – 10x+9
• Quadratic Polynomial: This type of polynomial contains four terms. For example, x3+2x2 – 10x+7

ᴛʜᴇ ɢᴇɴᴇʀᴀʟ ᴘᴏʟʏɴᴏᴍɪᴀʟ ғᴏʀᴍᴜʟᴀ ɪs,:

F(x) = anxn + bxn-1 + an-2xn-2 + …….. + rx +s

• If n is a natural number: an – bn = (a – b)(an-1 + an-2b +…+ bn-2a + bn-1)
• If n is even (n = 2a): xn + yn = (x + y)(xn-1 – xn-2y +…+ yn-2x – yn-1)
• If n is odd number: xn + yn = (x + y)(xn-1 – xn-2y +…- yn-2x + yn-1)

Polynomial Identities

1.(x + y)2= x2 + 2xy + y2

2. (x – y)2= x2 – 2xy + y2

3. x2– y2 = (x + y)(x – y)

4. (x + a)(x + b) = x2+ (a + b)x + ab

5. (x + y + z)2= x2 + y2 + c2 + 2xy + 2yz + 2zx

6. (x + y)3= x3 + y3 + 3xy (x + y)

7. (x – y)3= x3 – y3 – 3xy (x – y)

8. x3+ y3 = (x + y)(x2 – xy + y2)

9. x3– y3 = (x – y)(x2 + xy + y2)

10. x3+ y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz – zx)

11. ax2 + bx + c = 0 then x = \frac{( -b \pm \sqrt{(b2 – 4ac)} )}{2a}

Hope it helps uh✌

Answer 2

Step-by-step explanation:

I hope it helpful for you completely free