Expand (x - 5)(3x + 1)

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Questions and Answers

What is the constant term of the expanded form of $(x - 5)(3x + 1)$?

-15 (correct)
5
-5
1

What is the coefficient of the $x$ term in the expanded form of $(x - 5)(3x + 1)$?

3
-14 (correct)
-5
1

Which of the following expressions is equivalent to $(x - 5)(3x + 1)$?

$3x^2 + 14x - 5$
$3x^2 + 16x + 5$
$3x^2 - 16x - 5$
$3x^2 - 14x - 5$ (correct)

If $(x-5)(3x+1) = 0$, what are the possible values of $x$?

<p>$x = 5$ or $x = -\frac{1}{3}$ (C)</p> Signup and view all the answers

Which of the following graphs represents the quadratic function $f(x)=(x-5)(3x+1)$?

<p>A parabola opening upwards with roots at $x=5$ and $x=-\frac{1}{3}$. (B)</p> Signup and view all the answers

Flashcards

What is polynomial expansion?

The process of multiplying each term in one polynomial by each term in the other polynomial.

What is the FOIL method?

A method to expand two binomials, multiplying: First terms, Outer terms, Inner terms, Last terms.

What is combining like terms?

Combine terms with the same variable and exponent after polynomial expansion.

What is the expansion of (x-5)(3x+1) before simplifying?

x * 3x + x * 1 - 5 * 3x - 5 * 1

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What is the simplified expansion of (x-5)(3x+1)?

3x^2 - 14x - 5

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Study Notes

The image shows the product of two binomials: (x-5) and (3x+1).

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Description

Practice expanding the product of two binomials: (x - 5) and (3x + 1). Determine the constant term and the coefficient of the x term, identify equivalent expressions, and find the roots of the quadratic equation. Also, recognize the graph of the corresponding quadratic function.