(C) For a quadratic polynomial of the form $ax^2 + bx + c$,the sum of the zeros is given by the formula $-\frac{b}{a}$.Comparing $p(x) = 4x^2 + 12x +

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) For a quadratic polynomial of the form $ax^2 + bx + c$,the sum of the zeros is given by the formula $-\frac{b}{a}$.Comparing $p(x) = 4x^2 + 12x + 5$ with $ax^2 + bx + c$,we get $a = 4$,$b = 12$,and $c = 5$.Sum of zeros = $-\frac{b}{a} = -\frac{12}{4} = -3$.Therefore,the correct option is $C$.

Class 10 Mathematics Polynomials Mix Examples - Polynomials

Easy

The sum of the zeros of $p(x) = 4x^2 + 12x + 5$ is.........

A
$5$
B
$3$
C
$-3$
D
$-5$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Polynomials

Subtopic

Mix Examples - Polynomials

$A$ dealer bought $x^{2}+2x+3$ pieces of mobiles for Rs. $x^{3}+6x^{2}+11x+12$. Find the price of one mobile.

Medium

View Solution

If one of the zeroes of the cubic polynomial $x^{3}+a x^{2}+b x+c$ is $-1,$ then the product of the other two zeroes is

Difficult

View Solution

Divide $x^{4}-3 x^{2}+4 x+5$ by $x^{2}-x+1$.

Difficult

View Solution

The graph of a linear polynomial $p(x) = ax + b$ intersects the $X$-axis at $\ldots \ldots \ldots \ldots$ (where $a \neq 0$).

Easy

View Solution

Identify the type of the given polynomial based on its degree: $p(x) = 2012x + 2011$.

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The sum of the zeros of $p(x) = 4x^2 + 12x + 5$ is.........

Similar Questions

$A$ dealer bought $x^{2}+2x+3$ pieces of mobiles for Rs. $x^{3}+6x^{2}+11x+12$. Find the price of one mobile.

If one of the zeroes of the cubic polynomial $x^{3}+a x^{2}+b x+c$ is $-1,$ then the product of the other two zeroes is

Divide $x^{4}-3 x^{2}+4 x+5$ by $x^{2}-x+1$.

The graph of a linear polynomial $p(x) = ax + b$ intersects the $X$-axis at $\ldots \ldots \ldots \ldots$ (where $a \neq 0$).

Identify the type of the given polynomial based on its degree: $p(x) = 2012x + 2011$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module