Question

Check whether 5+2x is a factor of 3x²+10x​

Answer 1

Step-by-step explanation:

Given: p(x)=3x²+10x

and g(x)=5+2x

If g(x) is a factor of p(x), then the value should be zero when divided.

Therefore,

Let g(x)=0

5+2x=0

2x=5

x=5/2

x=2.5

p(2.5)=3(2.5)²+10(2.5)

=3×6.25+25

= 18.75+25

= 43.75

Since, p(2.5)≠0

Therefore, g(x) is not a factor of p(x).

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(This can also be solved by Division Method).