प्रश्नावली-3B
1. यदि x2+bx+c में b=p-q और c=-pq तो x2+bx+c का गुणनखण्ड क्या होगा?
Answer:—-
x2+(p-q)x-pq
x2+px-qx-pq
x(x+p)-q(x+p)
(x+p)(x-q)
2. रिक्त स्थानों की पूर्ति करें-
(a)
Answer:—–
(x+b)(x+c)
(b)y2-(p+q)y+pq=(…..)(…..)
Answer:—-
(y-p)(y-q)
3. गुणनखण्ड निकाले-
(a)x2+7x+12
x2+4x+3x+12
x(x+4)+3(x+4)
(x+4)(x+3)
(b)a2+12a+35
a2+7a+5a+35
a(a+7)+5(a+7)
(a+7)(a+5)
(c)x2+14x+48
x2+8x+6x+48
x(x+8)+6(x+8)
(x+8)(x+6)
(d) x2+14x+45
x2+9x+5x+45
x(x+9)+5(x+9)
(x+9)(x+5)
4.(a) y2-22y+120
y2-12y-10y+120
y(y-12)-10(y-12)
(y-12)(y-10)
(b)x2-22x+85
x2-17x-5x+85
x(x-17)-5(x-17)
(x-17)(x-5)
(c) 108-21x+x2
108-12x-9x+x2
12(9-x)-x(9-x)
(12-x)(9-x)
(d)132-23z+z2
132-11z-12z+z2
11(12-z)-z(12-z)
(12-z)(11-z)
5.(a) x2+2x-3
x2+3x-x-3
x(x+3)-1(x+3)
(x+3)(x-1)
(b) x2+x-110
x2+11x-10x-110
x(x+11)-10(x+11)
(x+11)(x-10)
(c)x2+8x-48
x2+12x-4x-48
x(x+12)-4(x+12)
(x+12)(x-4)
(d) x2+5x-36
x2+9x-4x-36
x(x+9)-4(x+9)
(x+9) (x-4)
6.(a) x2-3x-28
x2-7x+4x-28
x(x-7)+4(x-7)
(x-7) (x+4)
(b) x2-5x-14
x2-7x+2x-14
x(x-7)+2(x-7)
(x-7)(x+2)
(c) x2-11x-42
x2-14x+3x-42
x(x-14)+3(x-14)
(x-14)(x+3)
(d)y2-4y-21
y2-7y+3y-21
y(y-7)+3(y-7)
(y-7)(y+3)
7.(a) x2-30x+216
x2-18x-12x+216
x(x-18)-12(x-18)
(x-18)(x-12)
(b)x2-x-90
x2-10x+9x-90
x(x-10)+9(x-10)
(x-10)(x+9)
(c)x2+10x+21
x2+7x+3x+21
x(x+7)+3(x+7)
(x+7)(x+3)
(d)x2-(a + 1 ) x +1
a
x2 – ax – x + 1
a
x(x-a) – 1 (x-a)
a
(x-a)( x – 1 )
a
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