Question

USE FACTOR THEOREM TO FIND WHETHER x+5 IS A FACTOR OF f(x)=3x^4+17x^3+9x^2-7x-10

Answer 1

Answer:

It is given that f(x) = 3x4 + 17x3 + 9x2 − 7x − 10 and g(x) = x - 5. By the factor theorem, g(x) is a factor of polynomial f(x). i.e. x+5 =0. ⇒ x= - ...

Answer 2

Answer:

$\huge\tt{❥Answer♡}$

x+5=0

x= -5

$f(x) = 3 \times { - 5}^{4 } + 17 \times { - 5}^{3} + 9 \times { - 5}^{2} - 7 \times - 5 - 10$

$3 \times 5 + 17 \times - 5 + 9 \times 5 - 7 \times - 5 - 10$

$15 - 85 + 45 + 35 - 10$

$15 + 45 + 35 - 10 - 85$

$95 - 95 = 0$

yes , f(x)=0

so, x+5 is a factor of 3x^4+17x^3+9x^2-7x-10

$\huge\bold\green{Thanks}$