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MATH / The sum of the zeros, the product of the zeros, and the sum of the coefficients…

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problem

The sum of the zeros, the product of the zeros, and the sum of the coefficients of the function f(x)=ax2+bx+cf(x)=ax^{2}+bx+c are equal. Their common value must also be which of the following? (A) The coefficient of x2.x^2. (B) The coefficient of x.x. (C) The yy-intercept of the graph of y=f(x).y = f(x). (D) One of the xx-intercepts of the graph of y=f(x).y = f(x). (E) The mean of the xx-intercepts of the graph of y=f(x).y = f(x).
Plain-text mathematical notation (without MathML)
The sum of the zeros, the product of the zeros, and the sum of the coefficients of the function f(x)=ax²+bx+c are equal. Their common value must also be which of the following?

(A) The coefficient of x².
(B) The coefficient of x.
(C) The y-intercept of the graph of y=f(x).
(D) One of the x-intercepts of the graph of y=f(x).
(E) The mean of the x-intercepts of the graph of y=f(x).
Original LaTeX notation
The sum of the zeros, the product of the zeros, and the sum of the coefficients of the function $f(x)=ax^{2}+bx+c$ are equal. Their common value must also be which of the following?

(A) The coefficient of $x^2.$
(B) The coefficient of $x.$
(C) The $y$-intercept of the graph of $y = f(x).$
(D) One of the $x$-intercepts of the graph of $y = f(x).$
(E) The mean of the $x$-intercepts of the graph of $y = f(x).$

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
1adcce25-fa04-5e60-900f-6e932c335dc6
task_key
intermediate~5falgebra--test--1adcce25-fa04-5e60-900f-6e932c335dc6
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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