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podryga [215]
3 years ago
13

3x2=7 5x4=23 7x6=47 9x8=79 10x9=?

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0
(a\times b) = (a\times b) +(b -1) = c \\  \\ 3 \times 2 = (3\times 2) +(2-1) = 6 +1=7 \\  \\ 5 \times 4 = (5\times 4) +(4-1) = 20 +3=23 \\  \\ 7 \times 6 = (7\times 6) +(6-1) = 42 +5=47 \\  \\ 9 \times 8= (9\times 8) +(8-1) = 72 +7=79 \\  \\  \\  \\ 10 \times 9 = (10\times 9) +(9-1) = 90 +8=\boxed {\bf{98}}\\\sf {10\times 9 = \boxed{\bf {98}}}
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Use synthetic division to find P (-10) for P(x)=2x^3+14x^2-58x
Savatey [412]
The polynomial remainder theorem states that the remainder upon dividing a polynomial p(x) by x-c is the same as the value of p(c), so to find p(-10) you need to find the remainder upon dividing

\dfrac{2x^3+14x^2-58x}{x+10}

You have

..... | 2 ...  14  ... -58
-10 |    ... -20  ... 60
--------------------------
..... | 2 ...  -6  ....  2

So the quotient and remainder upon dividing is

\dfrac{2x^3+14x^2-58x}{x+10}=2x-6+\dfrac2{x+10}

with a remainder of 2, which means p(-10)=2.
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