Find all positive and negative integers b such that x^2+bx+9 factors.
1 answer:
Answer:
4x + b
Step-by-step explanation:
The derivative of a polynomial is the sum of the derivative of it's terms. The derivative of a constant term is 0. The derivative of the ( ax to the n) is ( nax to the n-1 )
2 x 2x(²minus¹ )+ bx(¹minus¹)
multiple 2x2
4x²–¹ + bx¹–¹
subtract 1 from 2
4x¹ + bx¹–¹
subtract 1 from 1
4x¹ + bx⁰
for any term t, t¹ = t
4x + bx⁰
for any term t except 0
t⁰ = 1
4x + b x 1
for any term t, t x 1 = t
and 1t = t
4x + b
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