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(8x2 - 15x) - (x2 - 27x) = ax2 + bx
If the equation above is true for all values of x, what is the value of b - a ?
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(8x2 - 15x) - (x2 - 27x) = ax2 + bx
8x2 - 15x - x2 + 27x = ax2 + bx
7x2 + 12x = ax2 + bx
since the equation is true for all values of x, we can compare the coefficient each terms.
Comparing the coefficient of x2,
a = 7
Similarly, if we compare the coefficient of x,
b = 12
Thus,
b - a = 12 - 7
= 5
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