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Question 1 of 4
Write out as a product of linear factors.
x2+16
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The products of linear factors can be found using the formulas a2-b2=(a+b)(a-b) and a2+b2=(a-bi)(a+bi).
To write out x2+16 as a product of linear factors, use the formula a2+b2=(a-bi)(a+bi) where a=√x2=x and b=√16=4.
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Question 2 of 4
Write out as a product of linear factors.
x2+3
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The products of linear factors can be found using the formulas a2-b2=(a+b)(a-b) and a2+b2=(a-bi)(a+bi).
To write out x2+3 as a product of linear factors, use the formula a2+b2=(a-bi)(a+bi) where a=√x2=x and b=√3.
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Question 3 of 4
Write out as a product of linear factors.
4x2+1
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The products of linear factors can be found using the formulas a2-b2=(a+b)(a-b) and a2+b2=(a-bi)(a+bi).
To write out 4x2+1 as a product of linear factors, use the formula a2+b2=(a-bi)(a+bi) where a=√4x2=2x and b=√1=1.
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Question 4 of 4
Write out as a product of linear factors.
5x2+9
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The products of linear factors can be found using the formulas a2-b2=(a+b)(a-b) and a2+b2=(a-bi)(a+bi).
To write out 5x2+9 as a product of linear factors, use the formula a2+b2=(a-bi)(a+bi) where a=√5x2=√5x and b=√9=3.
