Question

Find whether 5+3x is a factor of the polynomial 3x^2+ 11 x + 10

Answer 1

Answer:

Step-by-step explanation:

If 5+3x is a factor if the given polynomial then the zero of 5+3x when substituted in place of x in the given polynomial should give the remainder zero

Find zero of 5+3x

5+3x =0

3x =-5

x=-5/3

Put this zero in the given polynomial in place of x

p(-5/3) = 3(-5/3)^2 + 11 × (-5/3) + 10

=3 × 25/9 -55/3 +10

=75/9 -55/3 + 10

=(75-165)/9 + 10

= -90/9 + 10

=-10 + 10

=0

Since we have got the remainder as zero hence 5 +3x is indeed a factor.

See how simple it is..