Factor completely: 4x^2+32x+60?
Please show all work as well… Thank you.
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4x^2 + 32x + 60
= 4 (x^2 + 8x + 15)
= 4 (x + 3) (x + 5)
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mmk…4x^2 + 32x + 60
factor out 4…..so 4(x^2 + 8x + 15)
now u can factor the inside…so 4[(x + 3)(x + 5)]
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each term has a common factor of 4…
4(x^2 + 8x + 15)
factor the stuff in the parenthesis
4(x+a)(x+b)
what two integers, a and b, give: a+b =8; a*b = 15
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common factor=4: 4(x^2 +8x+15)
factor x^2+8x+15 using (x+a)(x+b) method with guess and check: 4(x+?)(x+?) use factors of 15, 3 and 5
4(x+3)(x+5)
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