Question

7 Find the factor of the polynomial
2m² +5m - 3​

Answer 1

2m

2m 2 +5m+3

2m 2 +5m+3=2m

2m 2 +5m+3=2m 2+2m+3m+3

2m 2 +5m+3=2m 2+2m+3m+3=2m(m+1)+3(m+1)

2m 2 +5m+3=2m 2+2m+3m+3=2m(m+1)+3(m+1)=(2m+3)(m+1)

2m 2 +5m+3=2m 2+2m+3m+3=2m(m+1)+3(m+1)=(2m+3)(m+1)∴ The factors are (2m+3) and (m+1)