if (3x-8)(x+5)=ax+by+c, what is the value of ac (please show work)

Answers

Answer 1

The value of ac in this quadratic equation (3x - 8)(x + 5) is -120.

What is a quadratic equation?

In Mathematics, the standard form of a quadratic equation is given by the following mathematical expression:

ax² + bx + c = 0    ......equation 1.

Therefore, we would expand the bracket as follows:

(3x - 8)(x + 5) = 0

3x² + 15x - 8x - 40 = 0

3x² + 17x - 40 = 0     .....equation 2.

By comparing equation 1 and equation 2, we have the following parameters:

a = 3

b = 17

c = -40

For the value of ac, we have:

ac = 3 × (-40)

ac = -120.

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Complete Question:

If (3x - 8)(x + 5) = ax² + bx + c, what is the value of ac (please show work


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Answers

The Complete form of each sentence using appropriate options are:

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