(A) Let the polynomial be $p(x) = x^{2} + 3x + k$.Since $2$ is a zero of the polynomial,$p(2) = 0$.Substituting $x = 2$ into the polynomial:$p(2) = (2

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(A) Let the polynomial be $p(x) = x^{2} + 3x + k$.Since $2$ is a zero of the polynomial,$p(2) = 0$.Substituting $x = 2$ into the polynomial:$p(2) = (2)^{2} + 3(2) + k = 0$$4 + 6 + k = 0$$10 + k = 0$$k = -10$

Class 10 Mathematics Polynomials Mix Examples - Polynomials

Medium

If one zero of the quadratic polynomial $x^{2}+3x+k$ is $2$,then the value of $k$ is

A
$-10$
B
$10$
C
$5$
D
$-5$

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If one zero of the quadratic polynomial $x^{2}+3x+k$ is $2$,then the value of $k$ is

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For the quadratic polynomial $p(x) = ax^2 + bx + c$; if $a = 6$,$b = 11$,and $c = 4$,then the quadratic polynomial is..........

The degree of the polynomial $p(x) = 3x - x^4 + x^2 + 2x^3 + 7$ is ..........

From the following figure,find the number of real zeros of $y=p(x)$ :

State the degree of the following polynomial: $p(x) = x^{15} - (x^5)^6 + x^3 - 7$.

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