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SAT Math - Polynomials - Polynomials Graphs | Worksheet

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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Related Lessons:

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 $g(x) = 5x^{4} + 3x^{3} - x + 2$ ?

Which of the following polynomials is a quadratic function?

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

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?

§ $MATH$ §§§ opens downwards.

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

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

th ends up.

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Other Sets

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Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet

Other Sets

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Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet

Other Sets

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Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet

-1

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

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

$m(x) = 2x + 1$

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

It

ENDMATH

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

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

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

0, 1

Bo

B o

$Bo$ 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.