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: 2x2−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×2x=2x2

Step 3 ：Step 3: Then, we multiply the Outer terms: x×5=5x

Step 4 ：Step 4: Next, we multiply the Inner terms: −3×2x=−6x

Step 5 ：Step 5: Finally, we multiply the Last terms: −3×5=−15

Step 6 ：Step 6: Now, add all of these results together: 2x2+5x−6x−15

Step 7 ：Step 7: Simplify the expression by combining like terms: 2x2−x−15

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