Answer:
4x⁵(-2x²+6x+3)
Explanation:
-8x⁷+24x⁶+12x⁵
Find HCF of 8, 24, and 12
8 = 1,2,4,8
24 = 1,2,3,4,6,8,12,24
12 = 1,2,3,4,6,12
HCF = 4
Find HCF of x⁷, x⁶, and x⁵
HCF =x⁵
HCF of all terms in expression = 4x⁵
Divide each term in expression by the HCF to calculate terms inside the bracket
-8x⁷ ÷ 4x⁵ = -2x²
24x⁶ ÷ 4x⁵ = 6x
12x⁵ ÷ 4x⁵ = 3
Put calculated terms above into bracket and calculated HCF outside bracket
HCF = 4x⁵
Terms = -2x² + 6x + 3
Factorised expression =
4x⁵(-2x²+6x+3)