Let Q(x)=x^4-3x^3+2x^2+x-3. Evaluate Q(x) by substituting the given value of x into the polynomial and simplifying. Then evaluate the polynomial by using the remainder theorem and synthetic division. Q(-3)

HypeMyday3m 2022-09-23 Answered
Let Q ( x ) = x 4 3 x 3 + 2 x 2 + x 3.
Evaluate Q(x) by substituting the given value of x into the polynomial and simplifying. Then evaluate the polynomial by using the remainder theorem and synthetic division. Q(-3)
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Answers (1)

Hayden Espinoza
Answered 2022-09-24 Author has 7 answers
Q ( 3 ) = x 4 3 x 3 + 2 x 2 + x 3 write the function
= ( 3 ) 4 3 ( 3 ) 3 + 2 ( 3 ) 2 + ( 3 ) 3 substitute the values
=81-3(-27)+2(9)+(-3)-3 evaluate the exponents
=81+81+18-3-3 perform multiplication
=174 remainder
Perform synthetic division to determine the remainder:
polyhorner scheme [ x = 3 ] { x 4 3 x 3 + 2 x 2 + x 3 }
Result:
Q(-3)=174
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