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In this lesson, we will learn how to factor quadratics where the coefficient of the leading term is one.

Q1:

Factor π₯ + 8 π₯ β 2 0 2 .

Q2:

Find the solution set of π₯ ( π₯ β 1 9 ) = β 1 5 π₯ in β .

Q3:

What property is illustrated by the step

Q4:

Find the possible values of if .

Q5:

Solve the equation ( π₯ β 3 ) ( π₯ + 8 ) = 0 .

Q6:

Identify the solutions to the equation ( π₯ β 3 ) ( π₯ + 8 ) = 0 .

Q7:

If the function π βΆ β β β€ , where π ( π₯ ) = ( π₯ + 1 7 ) 2 , and the function π βΆ β β β€ , where π ( π₯ ) = π₯ + 1 7 , find the solution set of π₯ which makes π ( π₯ ) = π ( π₯ ) .

Q8:

Given that π₯ + 1 6 π₯ = 8 , find π₯ + 1 6 π₯ 2 2 .

Q9:

At which values of π₯ does the graph of the equation π¦ = π₯ ( π₯ β 1 0 ) cross the π₯ -axis?

Q10:

Find the solution set of the equation ο» π₯ β 7 β 1 1 ο ο» π₯ + 2 β 4 1 ο = 0 in β .

Q11:

Factor π₯ + 8 π₯ + 1 2 2 .

Q12:

At which values of π₯ does the graph of the equation π¦ = ( π₯ + 2 ) ( π₯ β 6 ) cross the π₯ -axis?

Q13:

Factorise fully π₯ + 2 π₯ β 6 3 π₯ 3 2 .

Q14:

Factorise fully π₯ β π₯ β 1 2 π₯ 3 2 .

Q15:

Find algebraically the solution set of the equation β π₯ β 1 6 π₯ + 6 4 = 2 2 .

Q16:

Find the solution set of the equation π₯ + 2 1 π₯ = β 1 0 in β .

Q17:

Factor π₯ β 8 π₯ β 2 0 2 .

Q18:

By factoring, solve the equation π₯ 4 β 3 π₯ 4 = 5 2 2 .

Q19:

Find the solution set of 1 + 6 π₯ = 4 0 π₯ 2 in β .

Q20:

Find the solution set of οΉ π₯ β 3 π₯ ο = β 8 2 3 in β .

Q21:

Find the solution set of the equation ( π₯ β 1 8 ) = 2 2 2 in β .

Q22:

Factor the equation π¦ = π₯ β 9 ο¨ .

At which values of π₯ does the graph of π¦ = π₯ β 9 ο¨ cross the π₯ -axis?

Q23:

Find the solution set of the equation ο οΌ π₯ β 6 3 π₯ ο + 2 5 2 = 1 6 2 .

Q24:

Find the solution set of οΉ π₯ β 6 π₯ + 9 ο = 3 2 1 2 in β .

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