3. Factor: + 7m + m2 –30 Solutions Method 1 + 7m + m2 –30 The binomials will have the form: (an integer + integer + m)(an m) Find two integers whose product is and whose sum is 7. –30 The integers are and 10. –3 So, + 7m + = (–3 + + m2 m)(10 m) –30 Method 2 Rewrite the polynomial in descending order. + 7m + = + 7m 30 m2 m2 –30 – Find two integers whose product is and whose sum is 7. –30 The integers are and 10. –3 + 7m 30 = (m 3)(m + 10) m2 – –
3. Factor: –30 + 7m + m2 Solutions Method 1 –30 + 7m + m2 The binomials will have the form: (an integer + m)(an integer + m) Find two integers whose product is –30 and whose sum is 7. The integers are –3 and 10. So, –30 + 7m + m2 = (–3 + m)(10 + m) Method 2 Rewrite the polynomial in descending order. –30 + 7m + m2 = m2 + 7m – 30 Find two integers whose product is –30 and whose sum is 7. The integers are –3 and 10. m2 + 7m – 30 = (m – 3)(m + 10)
miap_ch3_notes.docx