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Polynomial Operations

This worksheet covers Polynomial Operations, 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

Polynomials • SAT Math

Set 1 — Foundation

What is the result of the polynomial expression $(x + 3)(x - 2)$ ?

$x^{2} + x - 6$

$x^{2} + x + 6$

$x^{2} - 6$

$x^{2} - x - 6$

What is the sum of the polynomials $2x^{2} + 3x + 4$ and $x^{2} - x + 1$ ?

$3x^{2} + 2x + 5$

$3x^{2} + 4x + 5$

$x^{2} + 4x + 5$

$3x^{2} + 5x + 5$

What is the result of $5x(x + 2)$ ?

$5x^{2} + 10x$

$5x^{2} + 2x$

$7x^{2}$

$10x^{2}$

What is the value of $x$ in the equation $x^{2} - 5x + 6 = 0$ ?

$2 §$ MATH $§$ \text{ or } $§$ ENDMATH $§ 3$

$1 §$ MATH $§$ \text{ or } $§$ ENDMATH $§ 6$

$-2 §$ MATH $§$ \text{ or } $§$ ENDMATH $§ -3$

$0 §$ MATH $§$ \text{ or } $§$ ENDMATH $§ 5$

What is the product of the polynomials $(x + 5)(x - 1)$ ?

$x^{2} + 4x - 5$

$x^{2} + 6x - 5$

$x^{2} + 5x - 5$

$x^{2} + 4x + 5$

If $f(x) = 4x^{2} + 2x$ , what is $f(1)$ ?

What is the difference of the polynomials $3x^{2} + 4x + 5$ and $x^{2} + 2x + 3$ ?

$2x^{2} + 2x + 2$

$2x^{2} + 2x + 3$

$2x^{2} + 2x + 1$

$3x^{2} + 4x + 1$

What is the value of $(2x^{2} + 3x)(4)$ ?

$8x^{2} + 12x$

$6x^{2} + 12x$

$6x^{2} + 10x$

$2x^{2} + 3x$

If $g(x) = x^{2} - 4$ , what is $g(3)$ ?

10.

What is the product of $(x - 1)^{2}$ ?

$x^{2} - 2x + 1$

$x^{2} + 2x + 1$

$x^{2} - 1$

$x^{2} + 1$

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