The factorisation method converts the quadratic equation a $x^{2}$ +bx+c=0 into which of the following form?

x^{2}

+ bx = 0

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(p x + q) (r x + s) = 0

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(x + p)^{2} = q

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All of the above

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Solution

The correct option is B $(p x + q) (r x + s) = 0$
The factorisation method involves converting a quadratic equation of the form a $x^{2}$ +bx+c=0into the form (px+q)(rx + s)=0 so that this equation can now be solved easily by using the zero product rule which gives two conditions px + q = 0 or rx + s = 0 and from this we get two solutions of x. Hence option b is the correct answer.

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The factorisation method converts the quadratic equation ax2+bx+c=0 into which of the following form?

The factorisation method converts the quadratic equation a $x^{2}$ +bx+c=0 into which of the following form?