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Mathematics
Factor theorem
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
Mathematics
Factor theorem
If x+2 is a factor of ${{x}^{2}}+mx+14$, then m =
[a] 7
[b] 2
[c] 9
[d] 14
Mathematics
Factor theorem
How do you use the factor theorem to determine whether $3x+1$ is a factor of $f\left( x \right)=3{{x}^{4}}-11{{x}^{3}}-55{{x}^{2}}+163x+60$ ?
Mathematics
Factor theorem
Factorize: \[{x^3} - 3{x^2} - 9x - 5\]

Mathematics
Factor theorem
Using factor theorem, factorize each of the following polynomials: $2{{y}^{3}}-5{{y}^{2}}-19y+42$ .
Mathematics
Factor theorem
Using the factor theorem, show that $\left( {x - 1} \right)$ is a factor of $\left( {{x^2} - 1} \right)$.
Mathematics
Factor theorem
Using factor theorem show that \[g\left( x \right)\] is a factor of \[p\left( x \right)\]\[=69+11x-{{x}^{2}}+{{x}^{3}}\], \[g\left( x \right)=x+3\].

Mathematics
Factor theorem
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 \[g\left( x \right) = x + 3\].
Mathematics
Factor theorem
Use factor theorem to factorize the polynomial $x^3 - 13x -12$.
Mathematics
Factor theorem
Show that:
$2x-3$ Is a factor of $x+2{{x}^{3}}-9{{x}^{2}}+12$.
Mathematics
Factor theorem
How do you use the factor theorem to determine whether $x-2$ is a factor of \[4{{x}^{3}}-3{{x}^{2}}-8x+4\]?

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