Examples of polynomials are; 3y 2 + 2x + 5, x 3 + 2 x 2 − 9 x – 4, 10 x 3 + 5 x + y, 4x 2 – 5x + 7) etc. How to Multiply Polynomials? To multiply polynomials, we use the distributive property

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To Multiply Polynomials with Polynomials Example 2: Simplify the followings. a. (3x + 2) (4x −3) b. (x + 3) (2x2 − 5x + 3) = (3x + 2) (4x −3) = (x + 3) (2x2 − 5x + 3) = 12x2 − 9x + 8x − 6 = 2x3 −

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If in a polynomial equation, a variable has different exponents, then the exponent law is used to simplify the given equation. For example, Multiply 3x² × 2x. Here, the

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Multiplying Polynomials and Polynomials. The multiplication of polynomials having more than one term requires the repeated use of the distributive property. Example: Multiply (2x + 5)(x +1)

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Multiply Polynomial Calc. Example 1. Let's multiply the polynomial ( 3 x 6 + 2 x 5 + 5) by the polynomial (5x + 2) . Step 1. Distribute . Step 2. Add the resulting Polynomials. ( 15 x 7 + 10 x 6

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Example: Multiply 2x 2 × 3x. Here, the coefficients and variables are multiplied separately. = (2 × 3) × (x 2 × x) = 6 × x 2+1 = 6x 3. Multiplying Polynomials having different variables. Follow the

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Example 1: Simplify xz (x 2 + z 2) by using rules of multiplication of polynomials. Solution: xz (x 2 + z 2) = (xz × x 2) + (xz × z 2) ⇒ x 3 z + xz 3. Therefore, the product is x 3 z + xz 3. Example 2: Find the product: (2x + 3y) (4x - 5y) Solution: