Which polynomial has factors of 4x – 7 and x + 4?

a) 3x^2 + x – 3

b) 4x^2 + 9x – 28

c) 3x^2 – 7x – 3

d) 4x^2 – 23x – 28

Option 'B' is correct.

Step-by-step explanation:

Since we have given that

there are two factors i.e.

So, we need to get a polynomial who has these factors :

For this we will use " " .

So, we get ,

Hence, option 'B' is correct.

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb