Question

factorise the following by splitting the middle term.
step by step explanation.
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Answer 1

Answer:

Roots are as follows

Step-by-step explanation:

5 th que incomplete

Answer 2

Answer:

i)¼x²-2x+3

Multiply each term by 4

=(¼×4)x²-(2×4)x+(3×4)

=x²-8x+12

=x²-6x-2x+12

=(x²-6x)-(2x+12)

=x(x-6)-2(x-6)

=(x-6)(x-2)

ii)√2x²+5x+3√2

=√2x²+2x+3x+3√2

=(√2x²+2x)+(3x+3√2)

=√2x(x+√2)+3(x+√2)

=(x+√2)(√2x+3)

iii)√3/2x²-x-48√3

Multiply each term by 2

=(√3/2×2)x²-(1×2)x-(48√3×2)

=√3x²-2x-96√3

=√3x²-18x+16x-96√3

=(√3x²-18x)+(16x-96√3)

=√3x(x-6√3)+16(x-6√3)

=(x-6√3)(√3x+16)

iv)√3x²+(3√3-2)x-6

=√3x²+3√3x-2x-6

=(√3x²+3√3x)-(2x-6)

=√3x(x+3)-2(x+3)

=(x+3)(√3x-2)