Mathematics: The two expressions below are equivalent. Find the values of a and b that make them equivalent. The two expressions are: 5x^2+bx-12 (5x+a)(x-4)

The two expressions below are equivalent. Find the

Aj85537

10.04.2022

$a=3\text{ and } b=-17$

Step-by-step explanation:

We are given that:

5x^2+bx-12=(5x+a)(x-4)

First, we can distribute the right-hand side:

5x(x-4)+a(x-4)

Distribute:

=5x^2-20x+ax-4a

Rewrite:

=5x^2+(-20+a)x-(4a)

Since it is equivalent to the above expression, the coefficients of the variables must match. This means that:

$-20+a=b\text{ and } 12=4a$

Solving for a in the second equation gives:

a=3

Therefore:

b=-20+3=-17

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kk042563

11.06.2022

i found my answer on math papa ,look on there

Step-by-step explanation:

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