(B) According to the Factor Theorem,if $p(a) = 0$ for a polynomial $p(x)$,then $(x - a)$ is a factor of $p(x)$.Given that $p(7) = 0$,we substitute $a

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(B) According to the Factor Theorem,if $p(a) = 0$ for a polynomial $p(x)$,then $(x - a)$ is a factor of $p(x)$.Given that $p(7) = 0$,we substitute $a = 7$ into the theorem.Therefore,$(x - 7)$ is a factor of $p(x)$.

Class 9 Mathematics Polynomials Factorisation of Polynomials

Easy

For the polynomial $p(x),$ if $p(7)=0,$ then .......... is a factor of $p(x)$.

A
$x+7$
B
$x-7$
C
$x-0$
D
$x+0$

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Polynomials

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Factorisation of Polynomials

Factorise the following quadratic polynomial by splitting the middle term:
$x^{2}-4x-77$

Easy

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Give possible expressions for the length and breadth of the rectangle whose area is given by $4 a^{2}+4 a-3$.

Medium

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Using long division,find the quotient and the remainder when the polynomial $x^{4}+1$ is divided by $x+1$.

Medium

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Check whether the polynomial $p(x) = x^{3} + 9x^{2} + 26x + 24$ is a multiple of $x + 2$ or not.

Medium

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Factorise $6x^{3}-23x^{2}+29x-12$.

Medium

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For the polynomial $p(x),$ if $p(7)=0,$ then .......... is a factor of $p(x)$.

Similar Questions

Factorise the following quadratic polynomial by splitting the middle term:$x^{2}-4x-77$

Give possible expressions for the length and breadth of the rectangle whose area is given by $4 a^{2}+4 a-3$.

Using long division,find the quotient and the remainder when the polynomial $x^{4}+1$ is divided by $x+1$.

Check whether the polynomial $p(x) = x^{3} + 9x^{2} + 26x + 24$ is a multiple of $x + 2$ or not.

Factorise $6x^{3}-23x^{2}+29x-12$.

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Factorise the following quadratic polynomial by splitting the middle term:
$x^{2}-4x-77$