Problem

Multiply the following polynomials using the FOIL method: \((x - 3)(2x + 5)\)

Answer

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Answer

Step 7: Simplify the expression by combining like terms: \(2x^2 - x - 15\)

Steps

Step 1 :Step 1: FOIL stands for First, Outer, Inner, Last. It is a method used for multiplying binomials. Here, we apply this method for \((x - 3)(2x + 5)\)

Step 2 :Step 2: First, we multiply the First terms in each binomial: \(x \times 2x = 2x^2\)

Step 3 :Step 3: Then, we multiply the Outer terms: \(x \times 5 = 5x\)

Step 4 :Step 4: Next, we multiply the Inner terms: \(-3 \times 2x = -6x\)

Step 5 :Step 5: Finally, we multiply the Last terms: \(-3 \times 5 = -15\)

Step 6 :Step 6: Now, add all of these results together: \(2x^2 + 5x - 6x - 15\)

Step 7 :Step 7: Simplify the expression by combining like terms: \(2x^2 - x - 15\)

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