Algebra 2 - Synthetic Substitution Practice

Front

What is synthetic substitution?

Back

Synthetic substitution is a method used to evaluate polynomials at a specific value by simplifying the process of substitution.

Front

How do you perform synthetic substitution?

Back

1. Write down the coefficients of the polynomial. 2. Write the value of x to the left. 3. Bring down the leading coefficient. 4. Multiply and add down the column.

Front

Evaluate f(x) = x^3 + 8x + 24 at x = -2 using synthetic substitution.

Back

f(-2) = 0.

Front

Evaluate f(x) = x^3 - x^2 + 12x + 15 at x = -1 using synthetic substitution.

Back

f(-1) = 1.

Front

Evaluate f(x) = -4x^3 + 3x - 5 at x = 2 using synthetic substitution.

Back

f(2) = -31.

Front

Evaluate f(x) = x^3 - x^2 + 6x at x = 5 using synthetic substitution.

Back

f(5) = 130.

Front

Evaluate f(x) = 3x^2 - 9x - 20 at x = 5 using synthetic substitution.

Back

f(5) = 10.

Front

What is the leading coefficient of the polynomial f(x) = 2x^3 - 4x + 1?

Back

The leading coefficient is 2.

Front

What does the degree of a polynomial indicate?

Back

The degree of a polynomial indicates the highest power of the variable in the polynomial.

Front

What is the value of f(x) = 5x^2 - 3x + 7 at x = 0?

Back

f(0) = 7.