What is the remainder when f(x) = x2 + 14x − 8 is divided by (x − 3)?
43
40
37
12

43

Step-by-step explanation:

Using the remainder theorem, that is

The remainder on dividing f(x) by (x - h) is the value of f(h)

here division by (x - 3) hence evaluate f(3) for remainder

f(3) = 3² + 14(3) - 8 = 9 + 42 - 8 = 43 ← remainder

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)