If the polynomial $g (x) = x^{2} + a x + b$ is a factor of $p (x) = 3 x^{3} + 5 x - 8$ then find the value of ab.

Open in App

Solution

Ans: $\frac{8}{3}$

Suggest Corrections

Similar questions

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x)

f(x) = $3 x^{3} + x^{2}$ - 20x + 12, g(x) = 3x - 2

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

(i)

(ii)

(iii)

Using factor theorem, show that g(x) is a factor of p(x), when
$p (x) = 3 x^{3} + x^{2} - 20 x + 12, g (x) = 3 x - 2$

If the polynomial $g (x) = x^{2} + 5 x + k$ is a factor of $p (x) = 4 x^{4} + 20 x^{3} - 26 x^{2} - 10 x + 12$ then find the value of k. Also find all the zeroes of the polynomial.

Q. If the zeroes of polynomial

p (x) = 3 x^{3} - x^{2} - a x - 45

3

, then

a

Join BYJU'S Learning Program

If the polynomial g(x)=x2+ax+b is a factor of p(x)=3x3+5x−8 then find the value of ab.

Ans: 83

If the polynomial $g (x) = x^{2} + a x + b$ is a factor of $p (x) = 3 x^{3} + 5 x - 8$ then find the value of ab.

Ans: $\frac{8}{3}$