Üçhədlinin vuruqlara ayrılması
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12. $5x^2 + ax - b$ üçhədlisi $(5x + 1)(x - 2)$ şəklində vuruqlarına ayrılmışdırsa, $a \cdot b$ hasilini tapın. A) $-10$ B) $18$ C) $-16$ D) $5$ E) $-18$
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Hi Sema, let's solve this factorization problem together.
Problem Setup
We are given that the trinomial 5x squared plus ax minus b is equal to the product of 5x plus 1 and x minus 2.
To find the values of a and b, we need to expand the right side of the equation using the distributive property, or FOIL method.
Now, let's combine the like terms, negative 10x and positive x, to simplify the expression.
Comparing this to our original expression 5x squared plus ax minus b, we can equate the coefficients.
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