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Polynomials Graphs

This worksheet covers Polynomials Graphs, which is part of the Polynomials module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Polynomial Operations

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Polynomials Graphs

Polynomials • SAT Math

Set 4 — Mastery

What is the degree of the polynomial $f(x) = 3x^{4} - 5x^{3} + 2x - 7$ ?

$Th$ e graph of the polynomial $g(x) = x^{3} - 6x^{2} + 9x$ has a local maximum at which of the following points?

(3, 0)

(2, 0)

(1, 0)

(0, 0)

Which of the following statements is true about the end behavior of the polynomial $h(x) = -2x^{5} + 3x^{3} - x + 1$ ?

§ $MATH$ § $As$ § $ENDMATH$ § $x \to \infty$ , $h(x) o -\infty$

§ $MATH$ § $As$ § $ENDMATH$ § $x \to \infty$ , $h(x) o \infty$

§ $MATH$ § $As$ § $ENDMATH$ § $x \to -\infty$ , $h(x) o -\infty$

$Bo$ th A and § $MATH$ § $C$ § $ENDMATH$ § are true.

What is the y-intercept of the polynomial $k(x) = 4x^{2} - 2x + 5$ ?

-2

$Gi$ ven the polynomial $p(x) = (x - 1)(x + 2)(x - 3)$ , what are the x-intercepts?

1, -2, 3

-1, 2, 3

1, 2, -3

-1, -2, -3

What is the coefficient of the $x^{3}$ term in the polynomial $q(x) = 2x^{4} - 4x^{3} + 7x^{2} + 1$ ?

-4

If the polynomial $r(x) = x^{4} - 2x^{3} + x^{2} - 4$ has a root at $x = 2$ , what is the value of $r(2)$ ?

-4

What is the leading coefficient of the polynomial $s(x) = -5x^{6} + 3x^{5} - 2x + 1$ ?

-5

Which of the following points indicates a change in direction for the polynomial $t(x) = x^{3} - 3x^{2}$ ?

(0, 0)

(1, -2)

(3, 0)

(2, -2)

10.

$Fo$ r the polynomial $u(x) = x^{4} - 4x^{2}$ , what is the maximum number of turning points on its graph?

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