Math, asked by shreyash69, 1 year ago

Swondary School Mathematics for Class 9
SOLUTO
dr- x+2ro) so that the
9 Whemuste suhtest
17
wis at dine by
When the given polynomial is divided by a quadratic
polynomial then the remainder is a linear expression, say
When the given polynom
(art).
Letra) -(4-2-6+2+6)-(arband (x) = 2x+x-1.
Then,
700) = 42r-ore-ar+(6-1)
and 8(0) = (2x2+-1) (2x+2r-1-1) = 2x(x+1) -- (x+1)
- (+1)(2-1).
Now, p(x) will be divisible by s() only when it is divisible by
(x+1) as well as by (2r-1).
Now, (+1=0 = -1) and (22-1=0 2x1 => 4 ):
By factor theorem, p(x) will be divisible by S(x), if p(-1) = 0
and p(-) = 0.
P(-1) = 0 = 4X(-1) 9-2X(-1)-6X(-1)+(2-a) X (-1)
+6-b=0
24+2-6-2+4+6-b= 0 = a-b=-4. ... (1)
+3)= 0 = 4 ()*-2x() -ox(*+(2-a)x1+(6 - b) = 0
= (4x)-(2x5)-(6x4)+1- +6-b=0
- 1 +1-2+6-b= 0 = a +b = 11
= a +2b = 11.
On solving (i) and (ii), we get a = 1 and b = 5.
Hence, the required expression to be subtracted is (x + 5). ​

Answers

Answered by roboankit
3

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