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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 2 — Foundation

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

What is the leading coefficient of the polynomial $g(x) = 5x^{4} + 3x^{3} - x + 2$ ?

-1

Which of the following polynomials is a quadratic function?

$h(x) = x^{2} + 4x + 4$

$k(x) = x^{3} + 3x^{2}$

$m(x) = 2x + 1$

$n(x) = x^{4} - x^{2} + 1$

What is the x-intercept of the polynomial $p(x) = x^{2} - 4$ ?

-2

±2

Which statement about the polynomial $f(x) = -2x^{3} + 3$ is true?

§ $MATH$ § $It$ § $ENDMATH$ § opens downwards.

§ $MATH$ § $It$ § $ENDMATH$ § opens upwards.

§ $MATH$ § $It$ § $ENDMATH$ § has two turning points.

§ $MATH$ § $It$ § $ENDMATH$ § has no x-intercepts.

What is the y-intercept of the polynomial $q(x) = 3x^{2} + 5x + 2$ ?

If $r(x) = (x + 1)(x - 2)$ , what are the x-intercepts?

1, -2

2, -1

-1, 2

0, 1

What is the end behavior of the polynomial $s(x) = x^{4} - 3x^{2}$ ?

$Bo$ th ends up.

$Bo$ th ends down.

$Le$ ft down, right up.

$Le$ ft up, right down.

How many real roots does the polynomial $t(x) = x^{2} + 1$ have?

Infinitely many

10.

$Fo$ r the polynomial $u(x) = x^{3} - 3x$ , which of the following statements is true?

§ $MATH$ § $It$ § $ENDMATH$ § has one local maximum.

§ $MATH$ § $It$ § $ENDMATH$ § has two local maxima.

§ $MATH$ § $It$ § $ENDMATH$ § has one local minimum.

§ $MATH$ § $It$ § $ENDMATH$ § has no turning points.

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