Answer:
Step-by-step explanation:
11. Use the fact that 19 X 33 = 627 to solve the problems and justify your reasoning
1 answer:
<h2>19 X 33 = 627, justified.</h2>
Step-by-step explanation:
We have,
19 × 33 = 627
Use the fact and justify.
L.H.S. = 19 × 33
= (20 - 1) (20 + 13)
Using the identity,
(x - a)(x + b) = - (a - b)x - ab
Here, x = 20, a = 1 and b = 13
= - (1 - 13)20 - 1(13)
= 400 - (- 12)20 - 13
= 400 + 240 - 13
= 640 - 13
= 627
= R.H.S., justified.
Thus, 19 X 33 = 627, justified.
You might be interested in
Answer:
-15
Step-by-step explanation:
Given is a polynomial in x
We have to find the remainder when the above polynomial is divided by x+5
Remainder theorem says that f(x) gives remainder R when divided by polynomial x-a means f(a) = R
Applying the above theorem we can say that value of the function when x =-5
= Remainder when f is divided by x+5
= F(-5)
Substitute the value of -5 in place of x
= (-5)^4 + 12(-5)^3 + 30(-5)^2 - 12(-5) + 70
= 625-1500+750+60+70
= 5
Hence answer is 5