(A) Given the equation: $x^{2}+kx+6=(x+2)(x+3)$.First,expand the right side of the equation:$(x+2)(x+3) = x(x+3) + 2(x+3)$$= x^{2} + 3x + 2x + 6$$= x^

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(A) Given the equation: $x^{2}+kx+6=(x+2)(x+3)$.First,expand the right side of the equation:$(x+2)(x+3) = x(x+3) + 2(x+3)$$= x^{2} + 3x + 2x + 6$$= x^{2} + 5x + 6$.Now,compare this with the left side of the equation: $x^{2}+kx+6 = x^{2}+5x+6$.By comparing the coefficients of $x$ on both sides,we get $k = 5$.

Class 9 Mathematics Polynomials Mix Examples - Polynomials

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If $x^{2}+kx+6=(x+2)(x+3)$ for all $x$,then the value of $k$ is

A
$5$
B
$1$
C
$-1$
D
$3$

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If $x^{2}+kx+6=(x+2)(x+3)$ for all $x$,then the value of $k$ is

Similar Questions

Factorise the following quadratic polynomial by splitting the middle term:$x^{2}+2x-143$

State whether the following statement is True or False. Justify your answer.Every polynomial is a binomial.

Factorise the following quadratic polynomial by splitting the middle term:$x^{2}+10x+16$

Using a suitable identity,evaluate the following:$999^{2}$

If $p(-3)=0,$ then one of the factors of $p(x)$ is.........

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Factorise the following quadratic polynomial by splitting the middle term:
$x^{2}+2x-143$

State whether the following statement is True or False. Justify your answer.
Every polynomial is a binomial.

Factorise the following quadratic polynomial by splitting the middle term:
$x^{2}+10x+16$

Using a suitable identity,evaluate the following:
$999^{2}$