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Digital SAT
Digital SAT Mathematics - No Calculator Section

Sum of Coefficients of Polynomial Q

Very Hard Passport To Advanced Math Manipulating Polynomials

Consider the polynomial $$ P(x) = 3x^4 - 8x^3 + 2x^2 + 5x - 10 $$.

Determine the sum of the coefficients of the polynomial $$ Q(x) = P(x-1) $$.

To find $$ Q(x) $$, substitute $$ x - 1 $$ into the polynomial $$ P(x) $$ and simplify that expression. Once you have calculated the simplified form of $$ Q(x) $$, sum its coefficients to arrive at your final answer.

Hint

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