Find out whether or not the first polynomial is a factor of the second polynomial
$x - 3, x^{3} + 4 x^{2} - 3 x + 5$

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Yes

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Can't be determine

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Can't Say

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Solution

The correct option is A No
$x^{3} + 4 x^{2} - 3 x + 5$
$x^{2} (x + 4) - 1 (3 x - 5)$

The above equation has no common factor and can not be added up to form a multiplication.
And $(x - 3)$ is not the is a factor of the second polynomial $x^{3} + 4 x^{2} - 3 x + 5$

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Similar questions

Q. Find out whether or not the first polynomial is a factor of the second polynomial:

4 a - 1, 12 a^{2} - 7 a - 2

Q. In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: (1−7)

f(x) = x³ − 6x² + 11x − 6; g(x) = x − 3

Q. Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial.

x^{3} - 3 x + 1, x^{5} - 4 x^{3} + x^{2} + 3 x + 1

Q. Verify whether

2

is a zero of the polynomial

x^{3} + 4 x^{2} - 3 x - 18

or not?

Question 2 (iii)
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:

$x^{3} - 3 x + 1, x^{5} - 4 x^{3} + x^{2} + 3 x + 1$

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Find out whether or not the first polynomial is a factor of the second polynomialx−3,x3+4x2−3x+5

The correct option is A Nox3+4x2−3x+5x2(x+4)−1(3x−5)The above equation has no common factor and can not be added up to form a multiplication.And (x−3) is not the is a factor of the second polynomial x3+4x2−3x+5

Find out whether or not the first polynomial is a factor of the second polynomial
$x - 3, x^{3} + 4 x^{2} - 3 x + 5$

The correct option is A No
$x^{3} + 4 x^{2} - 3 x + 5$
$x^{2} (x + 4) - 1 (3 x - 5)$

The above equation has no common factor and can not be added up to form a multiplication.
And $(x - 3)$ is not the is a factor of the second polynomial $x^{3} + 4 x^{2} - 3 x + 5$