(C) For a quadratic polynomial of the form $ax^2 + bx + c$,the sum of the zeros is given by the formula $-\frac{b}{a}$.Given the polynomial $p(x) = 3x

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(C) For a quadratic polynomial of the form $ax^2 + bx + c$,the sum of the zeros is given by the formula $-\frac{b}{a}$.Given the polynomial $p(x) = 3x^2 + 7x + 4$,we identify the coefficients as $a = 3$,$b = 7$,and $c = 4$.Substituting these values into the formula,we get:Sum of zeros = $-\frac{b}{a} = -\frac{7}{3}$.Therefore,the correct option is $C$.

Class 10 Mathematics Polynomials Relationship between Zeroes and Coefficients of a Polynomial

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The sum of the zeros of a quadratic polynomial $p(x) = 3x^2 + 7x + 4$ is...........

A
$3$
B
$4$
C
$-\frac{7}{3}$
D
$\frac{7}{3}$

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Relationship between Zeroes and Coefficients of a Polynomial

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Verify that $\frac{-2}{3}$ is a zero of the linear polynomial $p(x)=3x+2$.

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The sum of the zeros of a quadratic polynomial $p(x) = 3x^2 + 7x + 4$ is...........

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Find the zeros of the following quadratic polynomial: $p(x)=\sqrt{3} x^{2}-8 x+4 \sqrt{3}$

Find a quadratic polynomial,each with the given numbers as the sum and product of its zeroes respectively: $-\frac{1}{4}, \frac{1}{4}$.

Find the zeros of the following quadratic polynomial: $p(x) = 3x^2 + 15x$. (in $, -5$)

If $-2$ is a zero of the cubic polynomial $p(x) = x^3 + 6x^2 + 11x + 6$,then find the remaining zeros of $p(x)$.

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