9514 1404 393
Answer:
- ac = -16
- b = 0
- -4, 4
- (4x -1)(4x +1)
Explanation:
a) ac is the product of the leading coefficient (16) and the constant (-1).
ac = (16)(-1) = -16
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b) b is the coefficient of x. There is no x term, so ...
b = 0
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c) Two factors that add to give zero must be opposites. That is, they must be the square root of the opposite of -16, and the opposite of that.
the two numbers are -4 and 4
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d) The factored form for the two numbers p and q just found is ...
ax^2 +bx +c = (ax +p)(ax +q)/a
= (16x -4)(16x +4)/16
= (4x -1)(4x +1) . . . . factored form of 16x^2 -1