Question

factorization of 3x^2+15x+7​

Answer 1

Let x = 3 and Ax = 0.02. Then, we have:

f(3.02)=f(x+Ax)=3(x+Ax)² +15(x+4x)+5

Now, Ay=f(x+Ax)-f(x)

⇒ f(x+4x)=f(x) +Ay

= f(x) + f'(x) Ar

⇒/ (3.02) = (3x² +15x+5)+(6x+15) Ax

=[3(3) +15(3)+5

=(27+45+5)+(18+15)(0,02)

(0.02)

=77+(33)(0.02)

=77+0.66

=77.66

Hence, the approximate value of f(3.02)

is 77.66.