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ᴜʀ ᴀɴs ɪs ɪɴ ᴀʙᴏᴠᴇ ᴘʜᴏᴛᴏs
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ᴜ.....❤
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Answer:
(7)(x + 3)(x + 4)
Step-by-step explanation:
Given : 7x² + 49x + 84
- Taking common terms out.
⟹ 7(x² + 7x + 12)
On comparing this with ax² + bx + c, we get
• a = 1
• b = 7
• c = 12
- Using Middle Term Factorisation
⟹ 7(x² + 3x + 4x + 12)
⟹ 7 [ x(x + 3) + 4(x + 3) ]
⟹ 7 [ (x + 3)(x + 4) ]
⟹ (7)(x + 3)(x + 4)
- In Middle Term Factorisation, we split the middle term in two terms.
- We split the middle term in such a way that when we add those two terms, it will be equal to 'b' term and when we multiply those terms, it will be equal to the multiplication of 'a' term and 'c' term.
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