Polynomials Quiz

Remainder Theorem (correct)

Fundamental Theorem of Algebra

Factor Theorem

Rational Root Theorem

3

5

4 (correct)

2

-5

2

-7

3 (correct)

<p>The value of the polynomial $2x^3 - 5x^2 + 3x - 7$ when $x = 4$ is $f(4) = 2(4)^3 - 5(4)^2 + 3(4) - 7 = 113$.</p> Signup and view all the answers

<p>The remainder when the polynomial $3x^4 - 2x^3 + 5x^2 - 7x + 1$ is divided by $x + 2$ is $f(-2) = 3(-2)^4 - 2(-2)^3 + 5(-2)^2 - 7(-2) + 1 = 201$.</p> Signup and view all the answers

<p>The product of the roots of the polynomial $4x^2 - 5x + 1$ is given by the formula $r_1 \cdot r_2 = \frac{c}{a} = \frac{1}{4}$, where $r_1$ and $r_2$ are the roots and $c$ and $a$ are the constant and leading coefficients, respectively.</p> Signup and view all the answers