Please answer this and Explain it properly
please...........
If the HCF of the polynomials (x + 4)(2x2 + 5x + a) and (x + 3)(x2 + 7x + b) is (x2 + 7x + 12) then
6a + b is
(A)-6
(B) 5
(D) - 5
(C) 6
Answers
Answered by
4
Answer:
Option(A) : -6
Given,
HCF = (x + 4)(2x^2 + 5x + a) and (x + 3)(x^2 + 7x + b) is (x^2 + 7x + 12)
To Find,
Value of 6a + b is = ?
Solution,
GCD = x² + 7x + 12 = (x + 3)(x + 4)
Polynomials are,
1.
f(x) = (x + 4)(2x² + 5x + a)
Apply Factor theorem,
f(-3) = 0
==> 0 = 1 * (18 - 15 + a)
==> 0 = 18 - 15 + a
==> a = -3
2.
g(-4) = 0
==> 0 = (-1) * (16 - 28 + b)
==> 0 = b - 12
==> b = 12
Value of 6a + b,
==> 6(-3) + (12)
==> -18 + 12
==> -6
Result,
Value of 6a + b = -6.
#Hope my answer helped you.
Answered by
7
Sry dude..didn't find any other way to communicate with you.....
I just wanted to wish for ur exam...
All the best......
and by the way i think tht the answer is
option (a)...
i know u dont need them anymore but....xD..
#AVicci lives on....
#Heavy metal rocks...(pun intended)..xD
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