What is the 3rd term in y = x^2 + 4x + _____? A. 2.
B. 3.
C. 4.
D. 8.
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What is the 3rd term in y = x^2 + 4x + _____? A. 2.
B. 3.
C. 4.
D. 8.
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Answer:
C. 4
Step-by-step explanation:
A perfect square trinomial has the form a^2+2(ab)+b^2.
Use the middle term to solve for the third term.
Solution:
2(ab) = 4x
a is x 2(ab) = 4x
Solve for b 2xb/2x=4x/2x → b = 2
To complete the square, you need the value of b^2.
b^2 = 2^2 = 4
The missing value is 4. The perfect square trinomial we are looking for is x^2 + 4x +4.