Factorize : y2 + 7y +12
Answers
Answered by
9
Answer:
hey mate here is your answer
Step-by-step explanation:
Use the sum-product pattern
2+7+12
y^{2}+{\color{#c92786}{7y}}+12y2+7y+12
2+4+3+12
y^{2}+{\color{#c92786}{4y}}+{\color{#c92786}{3y}}+12y2+4y+3y+12
2 . Common factor from the two pairs
2+4+3+12
y^{2}+4y+3y+12y2+4y+3y+12
(+4)+3(+4)
y(y+4)+3(y+4)y(y+4)+3(y+4)
3 Rewrite in factored form
(+4)+3(+4)
y(y+4)+3(y+4)y(y+4)+3(y+4)
(+3)(+4)
(y+3)(y+4)(y+3)(y+4)
Solution
(+3)(+4)
Answered by
13
Answer:
y²+7y+12
y²+3y+4y+12
y(y+3) 4(y+3)
(y+4)(y+3)
=> y+4=0
y= -4
=> y+3= 0
y= -3
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