VI. On factorizing (8 – 10 a – 3a^2), we get:
Answers
Answer:
We get 234
Step-by-step explanation:
Given : area = 314 m2
According to given condition
π×r2= 314.
r2=100
∴r=10
Since Sprinkler can cover the garden with a radius of 12m as the radius of the circular garden is only 10m
∴ Sprinkler can water the entire garden.
The first term is, 3a2 its coefficient is 3 .
The middle term is, -10a its coefficient is -10 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 3 • 8 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -10 .
-24 + -1 = -25 -12 + -2 = -14 -8 + -3 = -11 -6 + -4 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -4
3a2 - 6a - 4a - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
3a • (a-2)
Add up the last 2 terms, pulling out common factors :
4 • (a-2)
Step-5 : Add up the four terms of step 4 :
(3a-4) • (a-2)
Which is the desired factorization
Final result :
(a - 2) • (3a - 4)
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