write the two factors of the algebraic expression x²+px+q if p=a+b and q=a×b. explain steps by step
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write the two factors of the algebraic expression x²+px+q if p=a+b and q=a×b. explain steps by step
write the two factors of the algebraic expression x²+px+q if p=a+b and q=a×b. explain steps by step
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Answer:
⚘Solution:
The factors of the polynomial are
[tex] \sf{(x + a) \: \: and \: (x + b)}[/tex]
[tex] \sf{p = a + b}[/tex]
[tex] \sf{q = ab}[/tex]
Find factors of polynomial:
[tex] \sf{ {x}^{2} + px + q = {x}^{2} + (a + b)x + ab = 0 }[/tex]
[tex] \sf{ {x}^{2} + ax + bx + ab = 0}[/tex]
[tex] \sf{(x + a)(x + b) = 0}[/tex]
Answer:
(x+a)(x+b)
Step-by-step explanation:
x^2+ax+bx+ab
x(x+a)+b(x+a)
(x+a)(X+b)