Question

3×4
$(5x {}^{2} - 7x + 2) \div (x - 1)$
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Answer 1

Answer:

first notice that 1 is a root of 5x^2-7x+2=0

so (x-1) is a factor of (5x^2−7x+2).

so,split the middle terms from eq.(5x^2−7x+2).

=5x^2-5x-2x+2

=5x(x-1)-2(x-1)

=(5x-2)(x-1)

so the two factors of eq.(5x^2−7x+2) are

1.(5x-2)

2.(x-1)