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GradeFactor theorem

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If \[x + a\] is the factor of \[{x^4} - {a^2}{x^2} + 3x - 6a\] then, \[a = \]

A. 0

B. -1

C. 1

D. 2

A. 0

B. -1

C. 1

D. 2

If x+2 is a factor of ${{x}^{2}}+mx+14$, then m =

[a] 7

[b] 2

[c] 9

[d] 14

[a] 7

[b] 2

[c] 9

[d] 14

How do you use the factor theorem to determine whether $3x+1$ is a factor of $f\left( x \right)=3{{x}^{4}}-11{{x}^{3}}-55{{x}^{2}}+163x+60$ ?

Factorize: \[{x^3} - 3{x^2} - 9x - 5\]

Using factor theorem, factorize each of the following polynomials: $2{{y}^{3}}-5{{y}^{2}}-19y+42$ .

Using the factor theorem, show that $\left( {x - 1} \right)$ is a factor of $\left( {{x^2} - 1} \right)$.

Using factor theorem show that \[g\left( x \right)\] is a factor of \[p\left( x \right)\]\[=69+11x-{{x}^{2}}+{{x}^{3}}\], \[g\left( x \right)=x+3\].

Using the factor theorem, show that \[g\left( x \right)\] is a factor of \[p\left( x \right)\], when \[p\left( x \right) = 69 + 11x - {x^2} + {x^3}\] and \[g\left( x \right) = x + 3\].

Use factor theorem to factorize the polynomial $x^3 - 13x -12$.

Show that:

$2x-3$ Is a factor of $x+2{{x}^{3}}-9{{x}^{2}}+12$.

$2x-3$ Is a factor of $x+2{{x}^{3}}-9{{x}^{2}}+12$.

How do you use the factor theorem to determine whether $x-2$ is a factor of \[4{{x}^{3}}-3{{x}^{2}}-8x+4\]?

Using factor theorem, factorize: ${{x}^{3}}-6{{x}^{2}}+3x+10$

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