Question

21. Find the zeroes of the quadratic polynomial x2 + 175x + 7500. (2 marks) 2​

Answer 1

Answer:-100 , -75

Step-by-step explanation:

Answer 2

$\huge{ \fcolorbox {red}{blue} {\underline \red{answer}}}$

$☣ {x}^{2} + 175x + 7500$

$\small{ The \: middle \: number \: is  \: \purple{ 175} and \: the \: last \: number \: is  \green{500.}}$

$\small{Factoring \: means \: we \: want \: something \: like}$

(x+_)(x+_)

$\small{Which \: numbers \: go \: in \: \: the \: blanks?}$

$We \: need \: two \: numbers \: that...$

• Add together to get $\purple{175}$
• Multiply together to get $\green{7500}$

Can you think of the two numbers?

Try 75 and 100:

• 75+100 = $\purple{175}$
• 75*100 = $\green{7500}$

Fill in the blanks in

(x+_)(x+_)

with 75 and 100 to get...

$Answer:$

$\boxed{(x+75)(x+100)}$