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If W(x)=0.25x^(2)+0.2 x and V(x)=100 x+40, which of the following is equal to W(x)*V(x) ? Choose 1 answer: (A) 0.25x^(2)+99.8 x+40 (B) 25x^(3)+30x^(2)+8x (c) 0.25x^(2)+20 x+40 (D) 25x^(3)+10x^(2)+20 x+8

If W(x)=0.25x2+0.2x W(x)=0.25 x^{2}+0.2 x and V(x)=100x+40 V(x)=100 x+40 , which of the following is equal to W(x)⋅V(x) W(x) \cdot V(x) ?\newlineChoose 11 answer:\newline(A) 0.25x2+99.8x+40 0.25 x^{2}+99.8 x+40 \newline(B) 25x3+30x2+8x 25 x^{3}+30 x^{2}+8 x \newline(C) 0.25x2+20x+40 0.25 x^{2}+20 x+40 \newline(D) 25x3+10x2+20x+8 25 x^{3}+10 x^{2}+20 x+8

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Q. If W(x)=0.25x2+0.2x W(x)=0.25 x^{2}+0.2 x and V(x)=100x+40 V(x)=100 x+40 , which of the following is equal to W(x)⋅V(x) W(x) \cdot V(x) ?\newlineChoose 11 answer:\newline(A) 0.25x2+99.8x+40 0.25 x^{2}+99.8 x+40 \newline(B) 25x3+30x2+8x 25 x^{3}+30 x^{2}+8 x \newline(C) 0.25x2+20x+40 0.25 x^{2}+20 x+40 \newline(D) 25x3+10x2+20x+8 25 x^{3}+10 x^{2}+20 x+8
  1. Write functions: Write down the given functions.\newlineW(x)=0.25x2+0.2xW(x) = 0.25x^2 + 0.2x\newlineV(x)=100x+40V(x) = 100x + 40
  2. Multiply functions: Multiply the functions W(x)W(x) and V(x)V(x) together using the distributive property (FOIL method for binomials).\newlineW(x)⋅V(x)=(0.25x2+0.2x)⋅(100x+40)W(x) \cdot V(x) = (0.25x^2 + 0.2x) \cdot (100x + 40)
  3. Distribute terms: Distribute each term in the first polynomial by each term in the second polynomial. \newlineW(x)⋅V(x)=(0.25x2⋅100x)+(0.25x2⋅40)+(0.2x⋅100x)+(0.2x⋅40)W(x) \cdot V(x) = (0.25x^2 \cdot 100x) + (0.25x^2 \cdot 40) + (0.2x \cdot 100x) + (0.2x \cdot 40)
  4. Perform multiplication: Perform the multiplication for each term.\newlineW(x)×V(x)=25x3+10x2+20x2+8xW(x) \times V(x) = 25x^3 + 10x^2 + 20x^2 + 8x
  5. Combine like terms: Combine like terms.\newlineW(x)⋅V(x)=25x3+(10x2+20x2)+8xW(x) \cdot V(x) = 25x^3 + (10x^2 + 20x^2) + 8x\newlineW(x)⋅V(x)=25x3+30x2+8xW(x) \cdot V(x) = 25x^3 + 30x^2 + 8x
  6. Match with choices: Match the result with the given choices.\newlineThe correct answer is (B) 25x3+30x2+8x25x^3 + 30x^2 + 8x.

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