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For the polynomial function p(x)=7x2−3x−10p(x)=7x^{2}-3x-10, evaluate p(4)p(4).

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Evaluate definite integrals using the chain ruleright chevron icon

Full solution

Q. For the polynomial function p(x)=7x2−3x−10p(x)=7x^{2}-3x-10, evaluate p(4)p(4).
  1. Substitute xx with 44: Substitute xx with 44 in the polynomial function p(x)=7x2−3x−10p(x) = 7x^2 - 3x - 10.\newlinep(4)=7(4)2−3(4)−10p(4) = 7(4)^2 - 3(4) - 10
  2. Calculate square of 44: Calculate the square of 44. (4)2=16(4)^2 = 16
  3. Multiply 77 by square: Multiply 77 by the square of 44. \newline7×16=1127 \times 16 = 112
  4. Multiply 33 by 44: Multiply 33 by 44. \newline3×4=123 \times 4 = 12
  5. Substitute values into polynomial: Substitute the calculated values into the polynomial. p(4)=112−12−10p(4) = 112 - 12 - 10
  6. Perform subtraction: Perform the subtraction to find the value of p(4)p(4).p(4)=112−12−10=100−10=90p(4) = 112 - 12 - 10 = 100 - 10 = 90

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