2 Expand (x a)(x b) If x2 -7x + 12 = (x a)(x b)then ﬁnd a + b - Maths - Polynomials

Question

2 Expand (x−a)(x−b)
If x2 -7x + 12 = (x−a)(x−b)then ﬁnd a + b
Also ﬁnd ab
Calculate the values of a,b
Write the factors of (x2 −7x + 12 )
Find the solutions of (x2 −7x + 12)
plss answer fastt

Lovina Kansal · Accepted Answer

(x−a)(x−b)=x(x-b)-a(x-b)=x2-bx-ax+abAnd x2 -7x + 12=x2-3x-4x+12=x(x-3)-4(x-3)=(x-4)(x-3)So, a=4 and b=3 on comparing (x-4)(x-3) with (x-a)(x-b)Hence, a+b=4+3=7and ab=4×3=12 For the solutions equate x2 -7x + 12=0⇒(x-4)(x-3)=0⇒x-4=0 or x-3=0⇒x=4 or x=3

2. Expand (x−a)(x−b) If x2 -7x + 12 = (x−a)(x−b)then ﬁnd a + b. Also ﬁnd ab Calculate the values of a,b Write the factors of (x2 −7x + 12 ) Find the solutions of (x2 −7x + 12) plss answer fastt

2. Expand (x−a)(x−b)

If x2 -7x + 12 = (x−a)(x−b)then ﬁnd a + b. Also ﬁnd ab

Calculate the values of a,b

Write the factors of (x2 −7x + 12 )

Find the solutions of (x2 −7x + 12)

plss answer fastt