The expression 3x²  33x  180 can be factored into the form a(x + b)(x + c), where a, b, and c are constants, to reveal the zeros of the function defined by the expression. What are the zeros of the function defined by 3x²  33x  180?
A.) 15 B.) 10 C.) 6 D.) 4 E.) 4 F.) 6 G.) 10 H.) 15
Zeros of a quadratic trinomial are the values for x, when y is set equal to zero. Zeros of a quadratic function are also known as "xintercepts", "roots", or "solutions". When a graph hits the xaxis,
at the xintercept, the value of y is zero. 3x²  33x  180 = 0 {set the expression equal to 0, to find the zeros of the function} 3(x²  11x  60) {factored out the greatest common factor, 3} 3(x  15)(x + 4) = 0 {factored the quadratic trinomial into two binomials} x  15 = 0 or x + 4 = 0 {set each factor equal to 0, of course excluding the 3} x = 15 or x = 4 {solved each equation for x} the zeros are D.) 4 and H.) 15 Ask Algebra House Comments are closed.

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