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Factor the polynomial by grouping.
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0. Fundamental Concepts of Algebra
Factoring Polynomials
객관식
Factor the polynomial.
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검증된 단계별 안내1
Identify the polynomial to be factored: \(x^2 - 2x - 15\).
Look for two numbers that multiply to the constant term (-15) and add to the linear coefficient (-2).
The numbers that satisfy these conditions are 3 and -5, because 3 * (-5) = -15 and 3 + (-5) = -2.
Rewrite the middle term (-2x) using the numbers found: \(x^2 + 3x - 5x - 15\).
Factor by grouping: Group the terms as \((x^2 + 3x) + (-5x - 15)\), then factor out the common factors to get \((x + 3)(x - 5)\).
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