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Step-by-step explanation:
1) here, p(x)= x³-ax+6x-a and the zero of x-a is a.
putting the value,
p(a)=a³-(a*a)+6a-a
=a³-a²+5a
so, by the remainder theorem, a³-a²+5a is the remainder when x³-ax+6x-a is divided by x-a.
2) 4x²+9y²+16z²+12xy - 24yz - 16xz
=(2x)²+ (3y)²+ (-4z)²+ 2 *(3y*2x) + 2*(-4z*3y)+2*(2x*-4z) [because (x+y+z)²=y²+ x²+z²+ 2xy+ 2yz+ 2zx]
=(2x+3y-4z)²
3)i.1/√5+√2
=1/√5+√2 * √5-√2/√5-√2
=√5-√2/5-2
=√5-√2/3
ii. 1/√7-√6
=1/√7-√6*√7+√6/√7+√6
=√7+√6/7-6
=√7+√6/1
I have used this * symbol for multiplication.
write the above answers, you will get full mark⬆️
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here is ure answer is ......
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