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Answer :

Asuwafohjamesgo

the value of P(7), given P(x) = negative4(x minus 15)2 + 2 is 1721.

The problem above can be solved using the ideal of polynomial.

What is a Polynomial?

Polynomials are mathematical expressions whereby the highest degree of their unknown is 2 and above.

Given:

  • P(x) = negative4(x minus 15)2 + 2
  • P(x) = -4(x-15)²+2

Expand the expression

  • P(x) = -4(x²-30x+225)+2
  • P(x) = -4x²+120x+900+2
  • P(x) = -4x²+120x+902

To find P(7), we subtitute 7 as the value of x in the expression above

  • P(7) = -4(7²)+120(7)+909
  • P(7) = -28+840+909
  • P(7) = 1721

Hence, the value of P(7), given P(x) = negative4(x minus 15)2 + 2 is 1721.

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