If one zero of the quadratic polynomial x2 + 3x + b is 2, then the value of b is (a) 10
(b) -8 (c) 9 (d) -10
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Answer:
The correct answer is option (d) -10
Step-by-step explanation:
Given,
One zero of the polynomial x² +3x+b is 2
To find,
The value of 'b'
Recall the concept:
If 'a' is a zero of the polynomial p(x), then p(a) = 0
Solution:
Let the given polynomial be p(x),
Since 2 is a zero of the polynomial p(x), then we have p(2) = 0
We have p(x) = x² +3x+b
Substituting the value of x = 2 we get,
p(2) = 2² +3×2+b
= 4+6+ b
= 10 +b
p(2) = 0⇒ 10+b = 0
b = -10
The value of b = -10
The correct answer is option (d) -10
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